72958779 has 32 divisors (see below), whose sum is σ = 113326080. Its totient is φ = 46332000.

The previous prime is 72958777. The next prime is 72958801. The reversal of 72958779 is 97785927.

It is not a de Polignac number, because 72958779 - 2¹ = 72958777 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72958777) 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 31 ways as a sum of consecutive naturals, for example, 55429 + ... + 56729.

It is an arithmetic number, because the mean of its divisors is an integer number (3541440).

Almost surely, 2^72958779 is an apocalyptic number.

72958779 is a deficient number, since it is larger than the sum of its proper divisors (40367301).

72958779 is a wasteful number, since it uses less digits than its factorization.

72958779 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 1402 counting only the distinct ones).

The product of its digits is 2222640, while the sum is 54.

The square root of 72958779 is about 8541.5911281213. The cubic root of 72958779 is about 417.8552397396.

It can be divided in two parts, 72958 and 779, that added together give a palindrome (73737).

The spelling of 72958779 in words is "seventy-two million, nine hundred fifty-eight thousand, seven hundred seventy-nine".