72465369356664 has 48 divisors (see below), whose sum is σ = 196261534188720. Its totient is φ = 24154980491520.

The previous prime is 72465369356483. The next prime is 72465369356689. The reversal of 72465369356664 is 46665396356427.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 72465369356592 and 72465369356601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9678469 + ... + 15446795.

It is an arithmetic number, because the mean of its divisors is an integer number (4088781962265).

Almost surely, 2^{72465369356664} is an apocalyptic number.

It is an amenable number.

72465369356664 is an abundant number, since it is smaller than the sum of its proper divisors (123796164832056).

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

72465369356664 is a wasteful number, since it uses less digits than its factorization.

72465369356664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5942820 (or 5942813 counting only the distinct ones).

The product of its digits is 3527193600, while the sum is 72.

The spelling of 72465369356664 in words is "seventy-two trillion, four hundred sixty-five billion, three hundred sixty-nine million, three hundred fifty-six thousand, six hundred sixty-four".