79623072 has 72 divisors (see below), whose sum is σ = 238361760. Its totient is φ = 25142400.

The previous prime is 79623059. The next prime is 79623101. The reversal of 79623072 is 27032697.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1804 + ... + 12747.

It is an arithmetic number, because the mean of its divisors is an integer number (3310580).

Almost surely, 2^79623072 is an apocalyptic number.

79623072 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 79623072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119180880).

79623072 is an abundant number, since it is smaller than the sum of its proper divisors (158738688).

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

79623072 is a wasteful number, since it uses less digits than its factorization.

79623072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14586 (or 14575 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 79623072 is about 8923.1761161595. The cubic root of 79623072 is about 430.2091501017.

The spelling of 79623072 in words is "seventy-nine million, six hundred twenty-three thousand, seventy-two".