72009413640 has 64 divisors (see below), whose sum is σ = 240031382400. Its totient is φ = 19202510016.

The previous prime is 72009413621. The next prime is 72009413657. The reversal of 72009413640 is 4631490027.

72009413640 is a `hidden beast` number, since 7 + 2 + 0 + 0 + 9 + 4 + 1 + 3 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 72009413595 and 72009413604.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 33336612 + ... + 33338771.

It is an arithmetic number, because the mean of its divisors is an integer number (3750490350).

Almost surely, 2^72009413640 is an apocalyptic number.

It is an amenable number.

72009413640 is an abundant number, since it is smaller than the sum of its proper divisors (168021968760).

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

72009413640 is a wasteful number, since it uses less digits than its factorization.

72009413640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66675403 (or 66675393 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 72009413640 in words is "seventy-two billion, nine million, four hundred thirteen thousand, six hundred forty".