72907560 has 384 divisors, whose sum is σ = 296265600. Its totient is φ = 15759360.

The previous prime is 72907519. The next prime is 72907609. The reversal of 72907560 is 6570927.

72907560 is a `hidden beast` number, since 7 + 2 + 90 + 7 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3837231 + ... + 3837249.

It is an arithmetic number, because the mean of its divisors is an integer number (771525).

Almost surely, 2^72907560 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 72907560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148132800).

72907560 is an abundant number, since it is smaller than the sum of its proper divisors (223358040).

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

72907560 is a wasteful number, since it uses less digits than its factorization.

72907560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 72907560 is about 8538.5923898497. The cubic root of 72907560 is about 417.7574350246.

The spelling of 72907560 in words is "seventy-two million, nine hundred seven thousand, five hundred sixty".