72615735 has 12 divisors (see below), whose sum is σ = 125867352. Its totient is φ = 38728368.

The previous prime is 72615731. The next prime is 72615737. The reversal of 72615735 is 53751627.

72615735 is a `hidden beast` number, since 7 + 2 + 615 + 7 + 35 = 666.

It is not a de Polignac number, because 72615735 - 2² = 72615731 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 72615735.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72615731) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 806797 + ... + 806886.

It is an arithmetic number, because the mean of its divisors is an integer number (10488946).

Almost surely, 2^72615735 is an apocalyptic number.

72615735 is a deficient number, since it is larger than the sum of its proper divisors (53251617).

72615735 is a wasteful number, since it uses less digits than its factorization.

72615735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613694 (or 1613691 counting only the distinct ones).

The product of its digits is 44100, while the sum is 36.

The square root of 72615735 is about 8521.4866660695. The cubic root of 72615735 is about 417.1993077919.

It can be divided in two parts, 7261 and 5735, that added together give a square (12996 = 114²).

The spelling of 72615735 in words is "seventy-two million, six hundred fifteen thousand, seven hundred thirty-five".