72629865 has 160 divisors (see below), whose sum is σ = 173124864. Its totient is φ = 28200960.

The previous prime is 72629857. The next prime is 72629867. The reversal of 72629865 is 56892627.

It is not a de Polignac number, because 72629865 - 2³ = 72629857 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (362880) is a multiple of the sum of its prime divisors (180).

It is a self number, because there is not a number n which added to its sum of digits gives 72629865.

It is not an unprimeable number, because it can be changed into a prime (72629867) 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 159 ways as a sum of consecutive naturals, for example, 530077 + ... + 530213.

Almost surely, 2^72629865 is an apocalyptic number.

It is an amenable number.

72629865 is an abundant number, since it is smaller than the sum of its proper divisors (100494999).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72629865 is a wasteful number, since it uses less digits than its factorization.

72629865 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 180 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 72629865 is about 8522.3157064263. The cubic root of 72629865 is about 417.2263664080.

The spelling of 72629865 in words is "seventy-two million, six hundred twenty-nine thousand, eight hundred sixty-five".