152560672 has 108 divisors (see below), whose sum is σ = 349454574. Its totient is φ = 65472000.

The previous prime is 152560663. The next prime is 152560687. The reversal of 152560672 is 276065251.

It can be written as a sum of positive squares in only one way, i.e., 150700176 + 1860496 = 12276^2 + 1364^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3720972 + ... + 3721012.

Almost surely, 2^152560672 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 152560672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174727287).

152560672 is an abundant number, since it is smaller than the sum of its proper divisors (196893902).

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

152560672 is a wasteful number, since it uses less digits than its factorization.

152560672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 152560672 is about 12351.5453284194. The cubic root of 152560672 is about 534.3357079599.

The spelling of 152560672 in words is "one hundred fifty-two million, five hundred sixty thousand, six hundred seventy-two".