71974400 has 60 divisors (see below), whose sum is σ = 178353912. Its totient is φ = 28784640.

The previous prime is 71974391. The next prime is 71974411. The reversal of 71974400 is 447917.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9989 + ... + 15611.

Almost surely, 2^71974400 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 71974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89176956).

71974400 is an abundant number, since it is smaller than the sum of its proper divisors (106379512).

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

71974400 is an equidigital number, since it uses as much as digits as its factorization.

71974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5651 (or 5630 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 71974400 is about 8483.7727456598. The cubic root of 71974400 is about 415.9674530750.

The spelling of 71974400 in words is "seventy-one million, nine hundred seventy-four thousand, four hundred".