79695072 has 72 divisors (see below), whose sum is σ = 228127536. Its totient is φ = 26390016.

The previous prime is 79695053. The next prime is 79695073. The reversal of 79695072 is 27059697.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79695073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47268 + ... + 48924.

It is an arithmetic number, because the mean of its divisors is an integer number (3168438).

Almost surely, 2^79695072 is an apocalyptic number.

79695072 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 79695072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114063768).

79695072 is an abundant number, since it is smaller than the sum of its proper divisors (148432464).

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

79695072 is a wasteful number, since it uses less digits than its factorization.

79695072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1840 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 79695072 is about 8927.2096424359. The cubic root of 79695072 is about 430.3387847507.

It can be divided in two parts, 7969 and 5072, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 79695072 in words is "seventy-nine million, six hundred ninety-five thousand, seventy-two".