72971520 has 144 divisors (see below), whose sum is σ = 240963072. Its totient is φ = 18800640.

The previous prime is 72971501. The next prime is 72971557. The reversal of 72971520 is 2517927.

It is a super-2 number, since 2×72971520² = 10649685462220800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118734 + ... + 119346.

Almost surely, 2^72971520 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 72971520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120481536).

72971520 is an abundant number, since it is smaller than the sum of its proper divisors (167991552).

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

72971520 is a wasteful number, since it uses less digits than its factorization.

72971520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 33.

The square root of 72971520 is about 8542.3369167927. The cubic root of 72971520 is about 417.8795620753.

The spelling of 72971520 in words is "seventy-two million, nine hundred seventy-one thousand, five hundred twenty".