72622656 has 70 divisors (see below), whose sum is σ = 215291670. Its totient is φ = 24205824.

The previous prime is 72622651. The next prime is 72622679. The reversal of 72622656 is 65622627.

It can be written as a sum of positive squares in only one way, i.e., 68558400 + 4064256 = 8280^2 + 2016^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 72622656.

It is not an unprimeable number, because it can be changed into a prime (72622651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1821 + ... + 12188.

Almost surely, 2^72622656 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 72622656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107645835).

72622656 is an abundant number, since it is smaller than the sum of its proper divisors (142669014).

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

72622656 is a wasteful number, since it uses less digits than its factorization.

72622656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14033 (or 14014 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 72622656 is about 8521.8927475063. The cubic root of 72622656 is about 417.2125617819.

The spelling of 72622656 in words is "seventy-two million, six hundred twenty-two thousand, six hundred fifty-six".