78872832 has 72 divisors (see below), whose sum is σ = 233261280. Its totient is φ = 26288640.

The previous prime is 78872831. The next prime is 78872839. The reversal of 78872832 is 23827887.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (78872831) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1207 + ... + 12617.

It is an arithmetic number, because the mean of its divisors is an integer number (3239740).

Almost surely, 2^78872832 is an apocalyptic number.

78872832 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 78872832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116630640).

78872832 is an abundant number, since it is smaller than the sum of its proper divisors (154388448).

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

78872832 is a wasteful number, since it uses less digits than its factorization.

78872832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11436 (or 11416 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 78872832 is about 8881.0377771970. The cubic root of 78872832 is about 428.8536837815.

The spelling of 78872832 in words is "seventy-eight million, eight hundred seventy-two thousand, eight hundred thirty-two".