79281072 has 160 divisors (see below), whose sum is σ = 258316800. Its totient is φ = 23079168.

The previous prime is 79281071. The next prime is 79281109. The reversal of 79281072 is 27018297.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79281071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106333 + ... + 107075.

It is an arithmetic number, because the mean of its divisors is an integer number (1614480).

Almost surely, 2^79281072 is an apocalyptic number.

79281072 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 79281072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129158400).

79281072 is an abundant number, since it is smaller than the sum of its proper divisors (179035728).

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

79281072 is a wasteful number, since it uses less digits than its factorization.

79281072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 79281072 is about 8903.9919137430. The cubic root of 79281072 is about 429.5923159576.

The spelling of 79281072 in words is "seventy-nine million, two hundred eighty-one thousand, seventy-two".