71728800 has 432 divisors, whose sum is σ = 290918880. Its totient is φ = 15206400.

The previous prime is 71728799. The next prime is 71728807. The reversal of 71728800 is 882717.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71728807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3775191 + ... + 3775209.

Almost surely, 2^71728800 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 71728800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145459440).

71728800 is an abundant number, since it is smaller than the sum of its proper divisors (219190080).

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

71728800 is a wasteful number, since it uses less digits than its factorization.

71728800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 33.

The square root of 71728800 is about 8469.2856841649. The cubic root of 71728800 is about 415.4937752575.

The spelling of 71728800 in words is "seventy-one million, seven hundred twenty-eight thousand, eight hundred".