72525960 has 96 divisors (see below), whose sum is σ = 253857240. Its totient is φ = 17851392.

The previous prime is 72525931. The next prime is 72525989. The reversal of 72525960 is 6952527.

72525960 is a `hidden beast` number, since 72 + 525 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (72525931) and next prime (72525989).

It can be written as a sum of positive squares in 4 ways, for example, as 63776196 + 8749764 = 7986^2 + 2958^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3069 + ... + 12428.

Almost surely, 2^72525960 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 72525960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126928620).

72525960 is an abundant number, since it is smaller than the sum of its proper divisors (181331280).

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

72525960 is a wasteful number, since it uses less digits than its factorization.

72525960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15527 (or 15520 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 72525960 is about 8516.2174702153. The cubic root of 72525960 is about 417.0273087372.

The spelling of 72525960 in words is "seventy-two million, five hundred twenty-five thousand, nine hundred sixty".