79972272 has 120 divisors (see below), whose sum is σ = 236332096. Its totient is φ = 26174016.

The previous prime is 79972231. The next prime is 79972279. The reversal of 79972272 is 27227997.

It is not an unprimeable number, because it can be changed into a prime (79972279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 260343 + ... + 260649.

Almost surely, 2^79972272 is an apocalyptic number.

79972272 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79972272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118166048).

79972272 is an abundant number, since it is smaller than the sum of its proper divisors (156359824).

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

79972272 is a wasteful number, since it uses less digits than its factorization.

79972272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 379 counting only the distinct ones).

The product of its digits is 222264, while the sum is 45.

The square root of 79972272 is about 8942.7217333427. The cubic root of 79972272 is about 430.8371504496.

The spelling of 79972272 in words is "seventy-nine million, nine hundred seventy-two thousand, two hundred seventy-two".