79137216 has 112 divisors (see below), whose sum is σ = 238536480. Its totient is φ = 25712640.

The previous prime is 79137209. The next prime is 79137229. The reversal of 79137216 is 61273197.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70290 + ... + 71406.

It is an arithmetic number, because the mean of its divisors is an integer number (2129790).

Almost surely, 2^79137216 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 79137216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119268240).

79137216 is an abundant number, since it is smaller than the sum of its proper divisors (159399264).

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

79137216 is a wasteful number, since it uses less digits than its factorization.

79137216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179 (or 1163 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 79137216 is about 8895.9100714879. The cubic root of 79137216 is about 429.3323259967.

It can be divided in two parts, 7913 and 7216, that added together give a square (15129 = 123²).

The spelling of 79137216 in words is "seventy-nine million, one hundred thirty-seven thousand, two hundred sixteen".