72684783513440 has 96 divisors (see below), whose sum is σ = 206577805835520. Its totient is φ = 23608892081664.

The previous prime is 72684783513403. The next prime is 72684783513469. The reversal of 72684783513440 is 4431538748627.

It is a hoax number, since the sum of its digits (62) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1707797882 + ... + 1707840441.

It is an arithmetic number, because the mean of its divisors is an integer number (2151852144120).

Almost surely, 2^{72684783513440} is an apocalyptic number.

72684783513440 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72684783513440 is an abundant number, since it is smaller than the sum of its proper divisors (133893022322080).

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

72684783513440 is a wasteful number, since it uses less digits than its factorization.

72684783513440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3415638364 (or 3415638356 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 62.

The spelling of 72684783513440 in words is "seventy-two trillion, six hundred eighty-four billion, seven hundred eighty-three million, five hundred thirteen thousand, four hundred forty".