72272218050 has 486 divisors, whose sum is σ = 221867946027. Its totient is φ = 16862186880.

The previous prime is 72272218033. The next prime is 72272218087. The reversal of 72272218050 is 5081227227.

It can be written as a sum of positive squares in 5 ways, for example, as 27721251009 + 44550967041 = 166497^2 + 211071^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=190095.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 72272217996 and 72272218014.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 2492145436 + ... + 2492145464.

Almost surely, 2^72272218050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72272218050

72272218050 is an abundant number, since it is smaller than the sum of its proper divisors (149595727977).

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

72272218050 is a wasteful number, since it uses less digits than its factorization.

72272218050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 72272218050 in words is "seventy-two billion, two hundred seventy-two million, two hundred eighteen thousand, fifty".