79672032 has 192 divisors, whose sum is σ = 259096320. Its totient is φ = 23616000.

The previous prime is 79671983. The next prime is 79672051. The reversal of 79672032 is 23027697.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 788782 + ... + 788882.

It is an arithmetic number, because the mean of its divisors is an integer number (1349460).

Almost surely, 2^79672032 is an apocalyptic number.

79672032 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 79672032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129548160).

79672032 is an abundant number, since it is smaller than the sum of its proper divisors (179424288).

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

79672032 is a wasteful number, since it uses less digits than its factorization.

79672032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 79672032 is about 8925.9191123380. The cubic root of 79672032 is about 430.2973101610.

It can be divided in two parts, 7967 and 2032, that added together give a palindrome (9999).

The spelling of 79672032 in words is "seventy-nine million, six hundred seventy-two thousand, thirty-two".