71237664 has 96 divisors (see below), whose sum is σ = 212950080. Its totient is φ = 23155200.

The previous prime is 71237657. The next prime is 71237681. The reversal of 71237664 is 46673217.

It is a tau number, because it is divible by the number of its divisors (96).

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

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, 34419 + ... + 36429.

It is an arithmetic number, because the mean of its divisors is an integer number (2218230).

Almost surely, 2^71237664 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 71237664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106475040).

71237664 is an abundant number, since it is smaller than the sum of its proper divisors (141712416).

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

71237664 is a wasteful number, since it uses less digits than its factorization.

71237664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2071 (or 2057 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 71237664 is about 8440.2407548600. The cubic root of 71237664 is about 414.5432900919.

The spelling of 71237664 in words is "seventy-one million, two hundred thirty-seven thousand, six hundred sixty-four".