72864935 has 32 divisors (see below), whose sum is σ = 103844160. Its totient is φ = 48384000.

The previous prime is 72864931. The next prime is 72864937. The reversal of 72864935 is 53946827.

It is not a de Polignac number, because 72864935 - 2² = 72864931 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72864931) 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, 71711 + ... + 72719.

It is an arithmetic number, because the mean of its divisors is an integer number (3245130).

Almost surely, 2^72864935 is an apocalyptic number.

72864935 is a deficient number, since it is larger than the sum of its proper divisors (30979225).

72864935 is a wasteful number, since it uses less digits than its factorization.

72864935 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139.

The product of its digits is 362880, while the sum is 44.

The square root of 72864935 is about 8536.0960046148. The cubic root of 72864935 is about 417.6760059655.

It can be divided in two parts, 7286 and 4935, that added together give a palindrome (12221).

The spelling of 72864935 in words is "seventy-two million, eight hundred sixty-four thousand, nine hundred thirty-five".