72274470116352 has 704 divisors, whose sum is σ = 238691335680000. Its totient is φ = 19379608141824.

The previous prime is 72274470116323. The next prime is 72274470116411. The reversal of 72274470116352 is 25361107447227.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 72274470116295 and 72274470116304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2142147099 + ... + 2142180837.

Almost surely, 2^{72274470116352} 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 72274470116352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119345667840000).

72274470116352 is an abundant number, since it is smaller than the sum of its proper divisors (166416865563648).

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

72274470116352 is a wasteful number, since it uses less digits than its factorization.

72274470116352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33909 (or 33877 counting only the distinct ones).

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

The spelling of 72274470116352 in words is "seventy-two trillion, two hundred seventy-four billion, four hundred seventy million, one hundred sixteen thousand, three hundred fifty-two".