71853264 has 80 divisors (see below), whose sum is σ = 235719040. Its totient is φ = 20528640.

The previous prime is 71853263. The next prime is 71853281. The reversal of 71853264 is 46235817.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71853263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8857 + ... + 14904.

It is an arithmetic number, because the mean of its divisors is an integer number (2946488).

Almost surely, 2^71853264 is an apocalyptic number.

It is an amenable number.

71853264 is an abundant number, since it is smaller than the sum of its proper divisors (163865776).

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

71853264 is a wasteful number, since it uses less digits than its factorization.

71853264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23785 (or 23773 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 71853264 is about 8476.6304626308. The cubic root of 71853264 is about 415.7339583481.

The spelling of 71853264 in words is "seventy-one million, eight hundred fifty-three thousand, two hundred sixty-four".