71268800 has 42 divisors (see below), whose sum is σ = 175369728. Its totient is φ = 28506880.

The previous prime is 71268787. The next prime is 71268803. The reversal of 71268800 is 886217.

It is a super-3 number, since 3×71268800³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71268803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20672 + ... + 23871.

Almost surely, 2^71268800 is an apocalyptic number.

It is an amenable number.

71268800 is an abundant number, since it is smaller than the sum of its proper divisors (104100928).

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

71268800 is a wasteful number, since it uses less digits than its factorization.

71268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44565 (or 44550 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 71268800 is about 8442.0850505074. The cubic root of 71268800 is about 414.6036764061.

The spelling of 71268800 in words is "seventy-one million, two hundred sixty-eight thousand, eight hundred".