72703782564 has 96 divisors (see below), whose sum is σ = 205378467840. Its totient is φ = 19541340672.

The previous prime is 72703782551. The next prime is 72703782611. The reversal of 72703782564 is 46528730727.

It is a super-2 number, since 2×72703782564² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3329209 + ... + 3350975.

It is an arithmetic number, because the mean of its divisors is an integer number (2139359040).

Almost surely, 2^72703782564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72703782564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102689233920).

72703782564 is an abundant number, since it is smaller than the sum of its proper divisors (132674685276).

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

72703782564 is a wasteful number, since it uses less digits than its factorization.

72703782564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24137 (or 24135 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 51.

The spelling of 72703782564 in words is "seventy-two billion, seven hundred three million, seven hundred eighty-two thousand, five hundred sixty-four".