79252992 has 360 divisors, whose sum is σ = 297152856. Its totient is φ = 20901888.

The previous prime is 79252991. The next prime is 79253021. The reversal of 79252992 is 29925297.

It is a happy number.

Its product of digits (204120) is a multiple of the sum of its prime factors (60).

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79252991) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6096378 + ... + 6096390.

Almost surely, 2^79252992 is an apocalyptic number.

79252992 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 79252992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148576428).

79252992 is an abundant number, since it is smaller than the sum of its proper divisors (217899864).

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

79252992 is an equidigital number, since it uses as much as digits as its factorization.

79252992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 25 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 79252992 is about 8902.4149532585. The cubic root of 79252992 is about 429.5415918845.

The spelling of 79252992 in words is "seventy-nine million, two hundred fifty-two thousand, nine hundred ninety-two".