71572800 has 336 divisors, whose sum is σ = 268093952. Its totient is φ = 16588800.

The previous prime is 71572799. The next prime is 71572807. The reversal of 71572800 is 827517.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71572807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1934382 + ... + 1934418.

Almost surely, 2^71572800 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 71572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134046976).

71572800 is an abundant number, since it is smaller than the sum of its proper divisors (196521152).

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

71572800 is a wasteful number, since it uses less digits than its factorization.

71572800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 30.

The square root of 71572800 is about 8460.0709216885. The cubic root of 71572800 is about 415.1923432196.

The spelling of 71572800 in words is "seventy-one million, five hundred seventy-two thousand, eight hundred".