72791409 has 16 divisors (see below), whose sum is σ = 98660160. Its totient is φ = 47731200.

The previous prime is 72791387. The next prime is 72791423. The reversal of 72791409 is 90419727.

It is not a de Polignac number, because 72791409 - 2⁵ = 72791377 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72791429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60009 + ... + 61209.

It is an arithmetic number, because the mean of its divisors is an integer number (6166260).

Almost surely, 2^72791409 is an apocalyptic number.

It is an amenable number.

72791409 is a deficient number, since it is larger than the sum of its proper divisors (25868751).

72791409 is a wasteful number, since it uses less digits than its factorization.

72791409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520.

The product of its (nonzero) digits is 31752, while the sum is 39.

The square root of 72791409 is about 8531.7881478621. The cubic root of 72791409 is about 417.5354702315.

The spelling of 72791409 in words is "seventy-two million, seven hundred ninety-one thousand, four hundred nine".