71264232 has 128 divisors (see below), whose sum is σ = 218736000. Its totient is φ = 21358080.

The previous prime is 71264213. The next prime is 71264233. The reversal of 71264232 is 23246217.

71264232 is a `hidden beast` number, since 7 + 12 + 642 + 3 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 71264196 and 71264205.

It is not an unprimeable number, because it can be changed into a prime (71264233) 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, 114819 + ... + 115437.

It is an arithmetic number, because the mean of its divisors is an integer number (1708875).

Almost surely, 2^71264232 is an apocalyptic number.

71264232 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 71264232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109368000).

71264232 is an abundant number, since it is smaller than the sum of its proper divisors (147471768).

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

71264232 is a wasteful number, since it uses less digits than its factorization.

71264232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 678 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 71264232 is about 8441.8144968958. The cubic root of 71264232 is about 414.5948181584.

The spelling of 71264232 in words is "seventy-one million, two hundred sixty-four thousand, two hundred thirty-two".