72731828 has 24 divisors (see below), whose sum is σ = 141496320. Its totient is φ = 32484960.

The previous prime is 72731807. The next prime is 72731833. The reversal of 72731828 is 82813727.

It is a junction number, because it is equal to n+sod(n) for n = 72731791 and 72731800.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 20948 + ... + 24171.

It is an arithmetic number, because the mean of its divisors is an integer number (5895680).

Almost surely, 2^72731828 is an apocalyptic number.

It is an amenable number.

72731828 is a deficient number, since it is larger than the sum of its proper divisors (68764492).

72731828 is a wasteful number, since it uses less digits than its factorization.

72731828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45167 (or 45165 counting only the distinct ones).

The product of its digits is 37632, while the sum is 38.

The square root of 72731828 is about 8528.2957265798. The cubic root of 72731828 is about 417.4215191864.

The spelling of 72731828 in words is "seventy-two million, seven hundred thirty-one thousand, eight hundred twenty-eight".