71332800 has 336 divisors, whose sum is σ = 293290752. Its totient is φ = 14745600.

The previous prime is 71332769. The next prime is 71332841. The reversal of 71332800 is 823317.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 369504 + ... + 369696.

Almost surely, 2^71332800 is an apocalyptic number.

71332800 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146645376).

71332800 is an abundant number, since it is smaller than the sum of its proper divisors (221957952).

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

71332800 is a wasteful number, since it uses less digits than its factorization.

71332800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 71332800 is about 8445.8747326728. The cubic root of 71332800 is about 414.7277451733.

The spelling of 71332800 in words is "seventy-one million, three hundred thirty-two thousand, eight hundred".