72936288 has 120 divisors (see below), whose sum is σ = 225945720. Its totient is φ = 23016960.

The previous prime is 72936263. The next prime is 72936293. The reversal of 72936288 is 88263927.

It is a super-3 number, since 3×72936288³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 48508 + ... + 49988.

It is an arithmetic number, because the mean of its divisors is an integer number (1882881).

Almost surely, 2^72936288 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 72936288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112972860).

72936288 is an abundant number, since it is smaller than the sum of its proper divisors (153009432).

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

72936288 is a wasteful number, since it uses less digits than its factorization.

72936288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1522 (or 1505 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 72936288 is about 8540.2744686573. The cubic root of 72936288 is about 417.8122979205.

The spelling of 72936288 in words is "seventy-two million, nine hundred thirty-six thousand, two hundred eighty-eight".