72936480 has 192 divisors, whose sum is σ = 242984448. Its totient is φ = 18370560.

The previous prime is 72936467. The next prime is 72936491. The reversal of 72936480 is 8463927.

72936480 = T₂₁₆ + T₂₁₇ + ... + T₇₆₄.

It is a super-2 number, since 2×72936480² = 10639460229580800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1195650 + ... + 1195710.

It is an arithmetic number, because the mean of its divisors is an integer number (1265544).

Almost surely, 2^72936480 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 72936480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121492224).

72936480 is an abundant number, since it is smaller than the sum of its proper divisors (170047968).

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

72936480 is a wasteful number, since it uses less digits than its factorization.

72936480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 72936480 is about 8540.2857095064. The cubic root of 72936480 is about 417.8126645414.

The spelling of 72936480 in words is "seventy-two million, nine hundred thirty-six thousand, four hundred eighty".