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1872072 = 2337107
BaseRepresentation
bin111001001000011001000
310112010000000
413021003020
5434401242
6104043000
721624636
oct7110310
93463000
101872072
111069574
12763460
13507147
1436a356
1526ea4c
hex1c90c8

1872072 has 64 divisors (see below), whose sum is σ = 5313600. Its totient is φ = 618192.

The previous prime is 1872049. The next prime is 1872097. The reversal of 1872072 is 2702781.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17443 + ... + 17549.

It is an arithmetic number, because the mean of its divisors is an integer number (83025).

21872072 is an apocalyptic number.

1872072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1872072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2656800).

1872072 is an abundant number, since it is smaller than the sum of its proper divisors (3441528).

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

1872072 is an equidigital number, since it uses as much as digits as its factorization.

1872072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 1872072 is about 1368.2368216066. The cubic root of 1872072 is about 123.2463829963.

The spelling of 1872072 in words is "one million, eight hundred seventy-two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 107 108 162 214 216 243 321 324 428 486 642 648 729 856 963 972 1284 1458 1926 1944 2187 2568 2889 2916 3852 4374 5778 5832 7704 8667 8748 11556 17334 17496 23112 26001 34668 52002 69336 78003 104004 156006 208008 234009 312012 468018 624024 936036 1872072