72791160 has 128 divisors (see below), whose sum is σ = 243432000. Its totient is φ = 17289216.

The previous prime is 72791149. The next prime is 72791167. The reversal of 72791160 is 6119727.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72791167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44436 + ... + 46044.

Almost surely, 2^72791160 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 72791160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121716000).

72791160 is an abundant number, since it is smaller than the sum of its proper divisors (170640840).

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

72791160 is a wasteful number, since it uses less digits than its factorization.

72791160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 33.

The square root of 72791160 is about 8531.7735553635. The cubic root of 72791160 is about 417.5349941385.

The spelling of 72791160 in words is "seventy-two million, seven hundred ninety-one thousand, one hundred sixty".