79162272 has 120 divisors (see below), whose sum is σ = 266134176. Its totient is φ = 22612608.

The previous prime is 79162261. The next prime is 79162273. The reversal of 79162272 is 27226197.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (79162273) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15963 + ... + 20325.

Almost surely, 2^79162272 is an apocalyptic number.

79162272 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 79162272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133067088).

79162272 is an abundant number, since it is smaller than the sum of its proper divisors (186971904).

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

79162272 is a wasteful number, since it uses less digits than its factorization.

79162272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4392 (or 4375 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 79162272 is about 8897.3182476519. The cubic root of 79162272 is about 429.3776321800.

The spelling of 79162272 in words is "seventy-nine million, one hundred sixty-two thousand, two hundred seventy-two".