72762120 has 96 divisors (see below), whose sum is σ = 237556800. Its totient is φ = 19314816.

The previous prime is 72762089. The next prime is 72762197. The reversal of 72762120 is 2126727.

It is a super-2 number, since 2×72762120² = 10588652213788800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128959 + ... + 129521.

It is an arithmetic number, because the mean of its divisors is an integer number (2474550).

Almost surely, 2^72762120 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 72762120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118778400).

72762120 is an abundant number, since it is smaller than the sum of its proper divisors (164794680).

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

72762120 is a wasteful number, since it uses less digits than its factorization.

72762120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 72762120 is about 8530.0715120097. The cubic root of 72762120 is about 417.4794616213.

Adding to 72762120 its reverse (2126727), we get a palindrome (74888847).

The spelling of 72762120 in words is "seventy-two million, seven hundred sixty-two thousand, one hundred twenty".