72272978432 has 50 divisors (see below), whose sum is σ = 145741880163. Its totient is φ = 35804961792.

The previous prime is 72272978429. The next prime is 72272978443. The reversal of 72272978432 is 23487927227.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 62308147456 + 9964830976 = 249616^2 + 99824^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=190096.

It is a super-2 number, since 2×72272978432² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

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 4 ways as a sum of consecutive naturals, for example, 663054794 + ... + 663054902.

Almost surely, 2^72272978432 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 72272978432

72272978432 is an abundant number, since it is smaller than the sum of its proper divisors (73468901731).

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

72272978432 is an frugal number, since it uses more digits than its factorization.

72272978432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 111 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 53.

The spelling of 72272978432 in words is "seventy-two billion, two hundred seventy-two million, nine hundred seventy-eight thousand, four hundred thirty-two".