72227628 has 72 divisors (see below), whose sum is σ = 210908880. Its totient is φ = 20597760.

The previous prime is 72227627. The next prime is 72227653. The reversal of 72227628 is 82672227.

72227628 is a `hidden beast` number, since 7 + 2 + 2 + 27 + 628 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 72227592 and 72227601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72227627) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1368 + ... + 12096.

It is an arithmetic number, because the mean of its divisors is an integer number (2929290).

Almost surely, 2^72227628 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 72227628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105454440).

72227628 is an abundant number, since it is smaller than the sum of its proper divisors (138681252).

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

72227628 is a wasteful number, since it uses less digits than its factorization.

72227628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10767 (or 10762 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 72227628 is about 8498.6838981103. The cubic root of 72227628 is about 416.4547157404.

The spelling of 72227628 in words is "seventy-two million, two hundred twenty-seven thousand, six hundred twenty-eight".