72406369 has 24 divisors (see below), whose sum is σ = 90091008. Its totient is φ = 57879360.

The previous prime is 72406363. The next prime is 72406379. The reversal of 72406369 is 96360427.

It is not a de Polignac number, because 72406369 - 2⁵ = 72406337 is a prime.

It is a super-2 number, since 2×72406369² = 10485364543528322, which contains 22 as substring.

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45424 + ... + 46990.

It is an arithmetic number, because the mean of its divisors is an integer number (3753792).

Almost surely, 2^72406369 is an apocalyptic number.

It is an amenable number.

72406369 is a deficient number, since it is larger than the sum of its proper divisors (17684639).

72406369 is a wasteful number, since it uses less digits than its factorization.

72406369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The square root of 72406369 is about 8509.1932049989. The cubic root of 72406369 is about 416.7979648793.

The spelling of 72406369 in words is "seventy-two million, four hundred six thousand, three hundred sixty-nine".