72365840 has 20 divisors (see below), whose sum is σ = 168250764. Its totient is φ = 28946304.

The previous prime is 72365837. The next prime is 72365857. The reversal of 72365840 is 4856327.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7595536 + 64770304 = 2756^2 + 8048^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 72365840.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 452207 + ... + 452366.

Almost surely, 2^72365840 is an apocalyptic number.

It is an amenable number.

72365840 is an abundant number, since it is smaller than the sum of its proper divisors (95884924).

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

72365840 is a wasteful number, since it uses less digits than its factorization.

72365840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904586 (or 904580 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 72365840 is about 8506.8113885286. The cubic root of 72365840 is about 416.7201837037.

The spelling of 72365840 in words is "seventy-two million, three hundred sixty-five thousand, eight hundred forty".