72227968 has 64 divisors (see below), whose sum is σ = 160466400. Its totient is φ = 32182272.

The previous prime is 72227963. The next prime is 72227983. The reversal of 72227968 is 86972227.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×72227968² = 10433758722818048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72227963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40471 + ... + 42217.

Almost surely, 2^72227968 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 72227968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80233200).

72227968 is an abundant number, since it is smaller than the sum of its proper divisors (88238432).

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

72227968 is a wasteful number, since it uses less digits than its factorization.

72227968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1797 (or 1785 counting only the distinct ones).

The product of its digits is 169344, while the sum is 43.

The square root of 72227968 is about 8498.7039011840. The cubic root of 72227968 is about 416.4553692040.

The spelling of 72227968 in words is "seventy-two million, two hundred twenty-seven thousand, nine hundred sixty-eight".