72022464 has 84 divisors (see below), whose sum is σ = 217337640. Its totient is φ = 22740480.

The previous prime is 72022439. The next prime is 72022481. The reversal of 72022464 is 46422027.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7654 + ... + 14234.

Almost surely, 2^72022464 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 72022464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108668820).

72022464 is an abundant number, since it is smaller than the sum of its proper divisors (145315176).

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

72022464 is a wasteful number, since it uses less digits than its factorization.

72022464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6618 (or 6605 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 72022464 is about 8486.6049749002. The cubic root of 72022464 is about 416.0600258550.

The spelling of 72022464 in words is "seventy-two million, twenty-two thousand, four hundred sixty-four".