72831620 has 24 divisors (see below), whose sum is σ = 154354200. Its totient is φ = 28864512.

The previous prime is 72831599. The next prime is 72831631. The reversal of 72831620 is 2613827.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4008004 + 68823616 = 2002^2 + 8296^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14525 + ... + 18884.

It is an arithmetic number, because the mean of its divisors is an integer number (6431425).

Almost surely, 2^72831620 is an apocalyptic number.

It is an amenable number.

72831620 is an abundant number, since it is smaller than the sum of its proper divisors (81522580).

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

72831620 is a wasteful number, since it uses less digits than its factorization.

72831620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33527 (or 33525 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 72831620 is about 8534.1443625006. The cubic root of 72831620 is about 417.6123402376.

The spelling of 72831620 in words is "seventy-two million, eight hundred thirty-one thousand, six hundred twenty".