72705807 has 12 divisors (see below), whose sum is σ = 105239784. Its totient is φ = 48368880.

The previous prime is 72705803. The next prime is 72705811. The reversal of 72705807 is 70850727.

72705807 is a `hidden beast` number, since 7 + 2 + 70 + 580 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (72705803) and next prime (72705811).

It is not a de Polignac number, because 72705807 - 2² = 72705803 is a prime.

It is a super-2 number, since 2×72705807² = 10572268743042498, which contains 22 as substring.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (72705803) 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, 3808 + ... + 12645.

It is an arithmetic number, because the mean of its divisors is an integer number (8769982).

Almost surely, 2^72705807 is an apocalyptic number.

72705807 is a deficient number, since it is larger than the sum of its proper divisors (32533977).

72705807 is a wasteful number, since it uses less digits than its factorization.

72705807 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16950 (or 16947 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 36.

The square root of 72705807 is about 8526.7700215263. The cubic root of 72705807 is about 417.3717334588.

The spelling of 72705807 in words is "seventy-two million, seven hundred five thousand, eight hundred seven".