72792420 has 48 divisors (see below), whose sum is σ = 214549440. Its totient is φ = 18389376.

The previous prime is 72792413. The next prime is 72792427. The reversal of 72792420 is 2429727.

It is an interprime number because it is at equal distance from previous prime (72792413) and next prime (72792427).

It is not an unprimeable number, because it can be changed into a prime (72792427) 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 15 ways as a sum of consecutive naturals, for example, 30787 + ... + 33066.

It is an arithmetic number, because the mean of its divisors is an integer number (4469780).

Almost surely, 2^72792420 is an apocalyptic number.

It is an amenable number.

72792420 is an abundant number, since it is smaller than the sum of its proper divisors (141757020).

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

72792420 is a wasteful number, since it uses less digits than its factorization.

72792420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63884 (or 63882 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 72792420 is about 8531.8473966662. The cubic root of 72792420 is about 417.5374032729.

The spelling of 72792420 in words is "seventy-two million, seven hundred ninety-two thousand, four hundred twenty".