72401683365 has 48 divisors (see below), whose sum is σ = 137983113216. Its totient is φ = 34827408000.

The previous prime is 72401683357. The next prime is 72401683381. The reversal of 72401683365 is 56338610427.

It is not a de Polignac number, because 72401683365 - 2³ = 72401683357 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 72401683365.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 512986 + ... + 638715.

It is an arithmetic number, because the mean of its divisors is an integer number (2874648192).

Almost surely, 2^72401683365 is an apocalyptic number.

It is an amenable number.

72401683365 is a deficient number, since it is larger than the sum of its proper divisors (65581429851).

72401683365 is a wasteful number, since it uses less digits than its factorization.

72401683365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151850 (or 1151847 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 72401683365 in words is "seventy-two billion, four hundred one million, six hundred eighty-three thousand, three hundred sixty-five".