79181920272 has 320 divisors, whose sum is σ = 280602040320. Its totient is φ = 18619932672.

The previous prime is 79181920267. The next prime is 79181920273. The reversal of 79181920272 is 27202918197.

It is a happy number.

It is a super-2 number, since 2×79181920272² (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 not an unprimeable number, because it can be changed into a prime (79181920273) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1382803 + ... + 1438925.

It is an arithmetic number, because the mean of its divisors is an integer number (876881376).

Almost surely, 2^79181920272 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 79181920272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140301020160).

79181920272 is an abundant number, since it is smaller than the sum of its proper divisors (201420120048).

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

79181920272 is a wasteful number, since it uses less digits than its factorization.

79181920272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56190 (or 56184 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 48.

The spelling of 79181920272 in words is "seventy-nine billion, one hundred eighty-one million, nine hundred twenty thousand, two hundred seventy-two".