71733264 has 40 divisors (see below), whose sum is σ = 187666560. Its totient is φ = 23607168.

The previous prime is 71733257. The next prime is 71733271. The reversal of 71733264 is 46233717.

It is an interprime number because it is at equal distance from previous prime (71733257) and next prime (71733271).

It is a super-2 number, since 2×71733264² = 10291322328187392, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5667 + ... + 13250.

It is an arithmetic number, because the mean of its divisors is an integer number (4691664).

Almost surely, 2^71733264 is an apocalyptic number.

It is an amenable number.

71733264 is an abundant number, since it is smaller than the sum of its proper divisors (115933296).

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

71733264 is a wasteful number, since it uses less digits than its factorization.

71733264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19007 (or 19001 counting only the distinct ones).

The product of its digits is 21168, while the sum is 33.

The square root of 71733264 is about 8469.5492205902. The cubic root of 71733264 is about 415.5023944162.

The spelling of 71733264 in words is "seventy-one million, seven hundred thirty-three thousand, two hundred sixty-four".