72579765 has 32 divisors (see below), whose sum is σ = 118935936. Its totient is φ = 37785600.

The previous prime is 72579719. The next prime is 72579769. The reversal of 72579765 is 56797527.

It is not a de Polignac number, because 72579765 - 2⁶ = 72579701 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72579769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120465 + ... + 121065.

It is an arithmetic number, because the mean of its divisors is an integer number (3716748).

Almost surely, 2^72579765 is an apocalyptic number.

It is an amenable number.

72579765 is a deficient number, since it is larger than the sum of its proper divisors (46356171).

72579765 is a wasteful number, since it uses less digits than its factorization.

72579765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789.

The product of its digits is 926100, while the sum is 48.

The square root of 72579765 is about 8519.3758574205. The cubic root of 72579765 is about 417.1304102468.

The spelling of 72579765 in words is "seventy-two million, five hundred seventy-nine thousand, seven hundred sixty-five".