72587520 has 108 divisors (see below), whose sum is σ = 251185116. Its totient is φ = 19353600.

The previous prime is 72587509. The next prime is 72587531. The reversal of 72587520 is 2578527.

72587520 is a `hidden beast` number, since 72 + 587 + 5 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (72587509) and next prime (72587531).

It can be written as a sum of positive squares in 2 ways, for example, as 35426304 + 37161216 = 5952^2 + 6096^2 .

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 11 ways as a sum of consecutive naturals, for example, 8370 + ... + 14670.

Almost surely, 2^72587520 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 72587520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125592558).

72587520 is an abundant number, since it is smaller than the sum of its proper divisors (178597596).

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

72587520 is a wasteful number, since it uses less digits than its factorization.

72587520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6328 (or 6311 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 72587520 is about 8519.8309842391. The cubic root of 72587520 is about 417.1452662292.

The spelling of 72587520 in words is "seventy-two million, five hundred eighty-seven thousand, five hundred twenty".