72406365 has 32 divisors (see below), whose sum is σ = 118039680. Its totient is φ = 37895424.

The previous prime is 72406363. The next prime is 72406379. The reversal of 72406365 is 56360427.

It is not a de Polignac number, because 72406365 - 2¹ = 72406363 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72406363) 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 31 ways as a sum of consecutive naturals, for example, 316071 + ... + 316299.

It is an arithmetic number, because the mean of its divisors is an integer number (3688740).

Almost surely, 2^72406365 is an apocalyptic number.

It is an amenable number.

72406365 is a deficient number, since it is larger than the sum of its proper divisors (45633315).

72406365 is a wasteful number, since it uses less digits than its factorization.

72406365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541.

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 72406365 is about 8509.1929699590. The cubic root of 72406365 is about 416.7979572041.

It can be divided in two parts, 72406 and 365, that added together give a triangular number (72771 = T₃₈₁).

The spelling of 72406365 in words is "seventy-two million, four hundred six thousand, three hundred sixty-five".