72079229376 has 224 divisors, whose sum is σ = 264186984960. Its totient is φ = 18721843200.

The previous prime is 72079229363. The next prime is 72079229377. The reversal of 72079229376 is 67392297027.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72079229377) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 137805 + ... + 403916.

Almost surely, 2^72079229376 is an apocalyptic number.

It is an amenable number.

72079229376 is an abundant number, since it is smaller than the sum of its proper divisors (192107755584).

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

72079229376 is a wasteful number, since it uses less digits than its factorization.

72079229376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541760 (or 541744 counting only the distinct ones).

The product of its (nonzero) digits is 4000752, while the sum is 54.

The spelling of 72079229376 in words is "seventy-two billion, seventy-nine million, two hundred twenty-nine thousand, three hundred seventy-six".