72793728 has 320 divisors, whose sum is σ = 266587200. Its totient is φ = 19243008.

The previous prime is 72793727. The next prime is 72793757. The reversal of 72793728 is 82739727.

72793728 is a `hidden beast` number, since 7 + 279 + 372 + 8 = 666.

It is a super-2 number, since 2×72793728² = 10597853672275968, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (72793727) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1233763 + ... + 1233821.

It is an arithmetic number, because the mean of its divisors is an integer number (833085).

Almost surely, 2^72793728 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 72793728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133293600).

72793728 is an abundant number, since it is smaller than the sum of its proper divisors (193793472).

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

72793728 is a wasteful number, since it uses less digits than its factorization.

72793728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 88 counting only the distinct ones).

The product of its digits is 296352, while the sum is 45.

The square root of 72793728 is about 8531.9240502949. The cubic root of 72793728 is about 417.5399041544.

The spelling of 72793728 in words is "seventy-two million, seven hundred ninety-three thousand, seven hundred twenty-eight".