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1372672 = 297383
BaseRepresentation
bin101001111001000000000
32120201221201
411033020000
5322411142
645230544
714444650
oct5171000
92521851
101372672
11858344
12562454
13390a42
1427a360
151c1ab7
hex14f200

1372672 has 40 divisors (see below), whose sum is σ = 3142656. Its totient is φ = 586752.

The previous prime is 1372667. The next prime is 1372673. The reversal of 1372672 is 2762731.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a d-powerful number, because it can be written as 1 + 312 + 7 + 213 + 64 + 77 + 213 .

Its product of digits (3528) is a multiple of the sum of its prime divisors (392).

It is a self number, because there is not a number n which added to its sum of digits gives 1372672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1372673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3393 + ... + 3775.

21372672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1372672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571328).

1372672 is an abundant number, since it is smaller than the sum of its proper divisors (1769984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1372672 is an frugal number, since it uses more digits than its factorization.

1372672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 392 counting only the distinct ones).

The product of its digits is 3528, while the sum is 28.

The square root of 1372672 is about 1171.6108568975. The cubic root of 1372672 is about 111.1362124030.

It can be divided in two parts, 137 and 2672, that added together give a square (2809 = 532).

The spelling of 1372672 in words is "one million, three hundred seventy-two thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 383 448 512 766 896 1532 1792 2681 3064 3584 5362 6128 10724 12256 21448 24512 42896 49024 85792 98048 171584 196096 343168 686336 1372672