78479072 has 96 divisors (see below), whose sum is σ = 192362688. Its totient is φ = 30744576.

The previous prime is 78479047. The next prime is 78479077. The reversal of 78479072 is 27097487.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78479077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140618 + ... + 141174.

It is an arithmetic number, because the mean of its divisors is an integer number (2003778).

Almost surely, 2^78479072 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 78479072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96181344).

78479072 is an abundant number, since it is smaller than the sum of its proper divisors (113883616).

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

78479072 is a wasteful number, since it uses less digits than its factorization.

78479072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 44.

The square root of 78479072 is about 8858.8414592429. The cubic root of 78479072 is about 428.1388317196.

The spelling of 78479072 in words is "seventy-eight million, four hundred seventy-nine thousand, seventy-two".