72933792680 has 32 divisors (see below), whose sum is σ = 187544039040. Its totient is φ = 25005871680.

The previous prime is 72933792671. The next prime is 72933792691. The reversal of 72933792680 is 8629733927.

It is a happy number.

It is a super-2 number, since 2×72933792680² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130238636 + ... + 130239195.

It is an arithmetic number, because the mean of its divisors is an integer number (5860751220).

Almost surely, 2^72933792680 is an apocalyptic number.

72933792680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72933792680 is an abundant number, since it is smaller than the sum of its proper divisors (114610246360).

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

72933792680 is a wasteful number, since it uses less digits than its factorization.

72933792680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260477849 (or 260477845 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 56.

It can be divided in two parts, 7293 and 3792680, that added together give a palindrome (3799973).

The spelling of 72933792680 in words is "seventy-two billion, nine hundred thirty-three million, seven hundred ninety-two thousand, six hundred eighty".