71205264 has 160 divisors (see below), whose sum is σ = 227763200. Its totient is φ = 21150720.

The previous prime is 71205259. The next prime is 71205269. The reversal of 71205264 is 46250217.

It is an interprime number because it is at equal distance from previous prime (71205259) and next prime (71205269).

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

It is not an unprimeable number, because it can be changed into a prime (71205269) 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, 173892 + ... + 174300.

It is an arithmetic number, because the mean of its divisors is an integer number (1423520).

Almost surely, 2^71205264 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 71205264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113881600).

71205264 is an abundant number, since it is smaller than the sum of its proper divisors (156557936).

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

71205264 is a wasteful number, since it uses less digits than its factorization.

71205264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 71205264 is about 8438.3211600413. The cubic root of 71205264 is about 414.4804336450.

The spelling of 71205264 in words is "seventy-one million, two hundred five thousand, two hundred sixty-four".