71775564 has 48 divisors (see below), whose sum is σ = 202664448. Its totient is φ = 19300608.

The previous prime is 71775527. The next prime is 71775601. The reversal of 71775564 is 46557717.

It is an interprime number because it is at equal distance from previous prime (71775527) and next prime (71775601).

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

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, 23704 + ... + 26559.

It is an arithmetic number, because the mean of its divisors is an integer number (4222176).

Almost surely, 2^71775564 is an apocalyptic number.

It is an amenable number.

71775564 is an abundant number, since it is smaller than the sum of its proper divisors (130888884).

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

71775564 is a wasteful number, since it uses less digits than its factorization.

71775564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50294 (or 50292 counting only the distinct ones).

The product of its digits is 205800, while the sum is 42.

The square root of 71775564 is about 8472.0460338693. The cubic root of 71775564 is about 415.5840501536.

It can be divided in two parts, 71 and 775564, that added together give a triangular number (775635 = T₁₂₄₅).

The spelling of 71775564 in words is "seventy-one million, seven hundred seventy-five thousand, five hundred sixty-four".