71992800 has 360 divisors, whose sum is σ = 289247112. Its totient is φ = 17280000.

The previous prime is 71992799. The next prime is 71992849. The reversal of 71992800 is 829917.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 712750 + ... + 712850.

Almost surely, 2^71992800 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 71992800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144623556).

71992800 is an abundant number, since it is smaller than the sum of its proper divisors (217254312).

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

71992800 is a wasteful number, since it uses less digits than its factorization.

71992800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 71992800 is about 8484.8570995627. The cubic root of 71992800 is about 416.0028969226.

It can be divided in two parts, 7199 and 2800, that added together give a palindrome (9999).

The spelling of 71992800 in words is "seventy-one million, nine hundred ninety-two thousand, eight hundred".