72259517632 has 56 divisors (see below), whose sum is σ = 147321178560. Its totient is φ = 35139962880.

The previous prime is 72259517623. The next prime is 72259517647. The reversal of 72259517632 is 23671595227.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9655332 + ... + 9662812.

Almost surely, 2^72259517632 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 72259517632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73660589280).

72259517632 is an abundant number, since it is smaller than the sum of its proper divisors (75061660928).

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

72259517632 is a wasteful number, since it uses less digits than its factorization.

72259517632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11609 (or 11599 counting only the distinct ones).

The product of its digits is 1587600, while the sum is 49.

The spelling of 72259517632 in words is "seventy-two billion, two hundred fifty-nine million, five hundred seventeen thousand, six hundred thirty-two".