72790509 has 16 divisors (see below), whose sum is σ = 106089984. Its totient is φ = 44026800.

The previous prime is 72790499. The next prime is 72790513. The reversal of 72790509 is 90509727.

It is not a de Polignac number, because 72790509 - 2⁵ = 72790477 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72790559) 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, 16912 + ... + 20774.

It is an arithmetic number, because the mean of its divisors is an integer number (6630624).

Almost surely, 2^72790509 is an apocalyptic number.

It is an amenable number.

72790509 is a deficient number, since it is larger than the sum of its proper divisors (33299475).

72790509 is a wasteful number, since it uses less digits than its factorization.

72790509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4448.

The product of its (nonzero) digits is 39690, while the sum is 39.

The square root of 72790509 is about 8531.7354037734. The cubic root of 72790509 is about 417.5337494082.

The spelling of 72790509 in words is "seventy-two million, seven hundred ninety thousand, five hundred nine".