72819720 has 48 divisors (see below), whose sum is σ = 236665260. Its totient is φ = 19418496.

The previous prime is 72819707. The next prime is 72819793. The reversal of 72819720 is 2791827.

It can be written as a sum of positive squares in 2 ways, for example, as 67864644 + 4955076 = 8238^2 + 2226^2 .

It is a super-3 number, since 3×72819720³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100779 + ... + 101498.

Almost surely, 2^72819720 is an apocalyptic number.

It is an amenable number.

72819720 is an abundant number, since it is smaller than the sum of its proper divisors (163845540).

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

72819720 is a wasteful number, since it uses less digits than its factorization.

72819720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202294 (or 202287 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 72819720 is about 8533.4471346578. The cubic root of 72819720 is about 417.5895943591.

The spelling of 72819720 in words is "seventy-two million, eight hundred nineteen thousand, seven hundred twenty".