1072148472 has 96 divisors (see below), whose sum is σ = 2997820800. Its totient is φ = 345989952.

The previous prime is 1072148461. The next prime is 1072148477. The reversal of 1072148472 is 2748412701.

1072148472 is a `hidden beast` number, since 107 + 2 + 1 + 484 + 72 = 666.

It is a super-3 number, since 3×1072148472³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072148477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 282733 + ... + 286499.

It is an arithmetic number, because the mean of its divisors is an integer number (31227300).

Almost surely, 2^1072148472 is an apocalyptic number.

1072148472 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 1072148472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498910400).

1072148472 is an abundant number, since it is smaller than the sum of its proper divisors (1925672328).

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

1072148472 is a wasteful number, since it uses less digits than its factorization.

1072148472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3905 (or 3898 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 1072148472 is about 32743.6783517063. The cubic root of 1072148472 is about 1023.4932362911.

The spelling of 1072148472 in words is "one billion, seventy-two million, one hundred forty-eight thousand, four hundred seventy-two".