79157350272 has 1152 divisors, whose sum is σ = 302335441920. Its totient is φ = 18114969600.

The previous prime is 79157350271. The next prime is 79157350319. The reversal of 79157350272 is 27205375197.

It is a super-2 number, since 2×79157350272² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79157350271) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1084347228 + ... + 1084347300.

It is an arithmetic number, because the mean of its divisors is an integer number (262443960).

Almost surely, 2^79157350272 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 79157350272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151167720960).

79157350272 is an abundant number, since it is smaller than the sum of its proper divisors (223178091648).

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

79157350272 is a wasteful number, since it uses less digits than its factorization.

79157350272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 926100, while the sum is 48.

The spelling of 79157350272 in words is "seventy-nine billion, one hundred fifty-seven million, three hundred fifty thousand, two hundred seventy-two".