72790464 has 112 divisors (see below), whose sum is σ = 211226400. Its totient is φ = 22020096.

The previous prime is 72790427. The next prime is 72790477. The reversal of 72790464 is 46409727.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 94272 + ... + 95040.

It is an arithmetic number, because the mean of its divisors is an integer number (1885950).

Almost surely, 2^72790464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72790464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105613200).

72790464 is an abundant number, since it is smaller than the sum of its proper divisors (138435936).

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

72790464 is a wasteful number, since it uses less digits than its factorization.

72790464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 72790464 is about 8531.7327665604. The cubic root of 72790464 is about 417.5336633666.

The spelling of 72790464 in words is "seventy-two million, seven hundred ninety thousand, four hundred sixty-four".