71712432 has 80 divisors (see below), whose sum is σ = 224568960. Its totient is φ = 21729600.

The previous prime is 71712383. The next prime is 71712449. The reversal of 71712432 is 23421717.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 71712396 and 71712405.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2794 + ... + 12297.

It is an arithmetic number, because the mean of its divisors is an integer number (2807112).

Almost surely, 2^71712432 is an apocalyptic number.

71712432 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

71712432 is an abundant number, since it is smaller than the sum of its proper divisors (152856528).

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

71712432 is a wasteful number, since it uses less digits than its factorization.

71712432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15119 (or 15107 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 71712432 is about 8468.3193137718. The cubic root of 71712432 is about 415.4621686157.

The spelling of 71712432 in words is "seventy-one million, seven hundred twelve thousand, four hundred thirty-two".