72791649 has 16 divisors (see below), whose sum is σ = 123245440. Its totient is φ = 41595120.

The previous prime is 72791639. The next prime is 72791657. The reversal of 72791649 is 94619727.

It is not a de Polignac number, because 72791649 - 2¹³ = 72783457 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72791629) 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, 192382 + ... + 192759.

It is an arithmetic number, because the mean of its divisors is an integer number (7702840).

Almost surely, 2^72791649 is an apocalyptic number.

It is an amenable number.

72791649 is a deficient number, since it is larger than the sum of its proper divisors (50453791).

72791649 is a wasteful number, since it uses less digits than its factorization.

72791649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385157 (or 385151 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 72791649 is about 8531.8022128973. The cubic root of 72791649 is about 417.5359291154.

The spelling of 72791649 in words is "seventy-two million, seven hundred ninety-one thousand, six hundred forty-nine".