71466864 has 80 divisors (see below), whose sum is σ = 212153088. Its totient is φ = 20307456.

The previous prime is 71466853. The next prime is 71466883. The reversal of 71466864 is 46866417.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75804 + ... + 76740.

Almost surely, 2^71466864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71466864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106076544).

71466864 is an abundant number, since it is smaller than the sum of its proper divisors (140686224).

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

71466864 is a wasteful number, since it uses less digits than its factorization.

71466864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 1176 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 71466864 is about 8453.8076628227. The cubic root of 71466864 is about 414.9873978851.

The spelling of 71466864 in words is "seventy-one million, four hundred sixty-six thousand, eight hundred sixty-four".