72797800 has 24 divisors (see below), whose sum is σ = 169255350. Its totient is φ = 29119040.

The previous prime is 72797761. The next prime is 72797807. The reversal of 72797800 is 879727.

It can be written as a sum of positive squares in 3 ways, for example, as 49815364 + 22982436 = 7058^2 + 4794^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (72797807) 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 5 ways as a sum of consecutive naturals, for example, 181795 + ... + 182194.

Almost surely, 2^72797800 is an apocalyptic number.

It is an amenable number.

72797800 is an abundant number, since it is smaller than the sum of its proper divisors (96457550).

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

72797800 is a wasteful number, since it uses less digits than its factorization.

72797800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364005 (or 363996 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 40.

The square root of 72797800 is about 8532.1626801181. The cubic root of 72797800 is about 417.5476895815.

The spelling of 72797800 in words is "seventy-two million, seven hundred ninety-seven thousand, eight hundred".