72505885 has 16 divisors (see below), whose sum is σ = 88386480. Its totient is φ = 57093120.

The previous prime is 72505861. The next prime is 72505943. The reversal of 72505885 is 58850527.

72505885 = T₆₉₅₁ + T₆₉₅₂ + T₆₉₅₃.

It can be written as a sum of positive squares in 8 ways, for example, as 47485881 + 25020004 = 6891^2 + 5002^2 .

It is a de Polignac number, because none of the positive numbers 2^k-72505885 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101911 + ... + 102619.

It is an arithmetic number, because the mean of its divisors is an integer number (5524155).

Almost surely, 2^72505885 is an apocalyptic number.

72505885 is the 6953-rd centered triangular number.

It is an amenable number.

72505885 is a deficient number, since it is larger than the sum of its proper divisors (15880595).

72505885 is a wasteful number, since it uses less digits than its factorization.

72505885 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008.

The product of its (nonzero) digits is 112000, while the sum is 40.

The square root of 72505885 is about 8515.0387550498. The cubic root of 72505885 is about 416.9888278228.

The spelling of 72505885 in words is "seventy-two million, five hundred five thousand, eight hundred eighty-five".