71192912400 has 135 divisors (see below), whose sum is σ = 247114750701. Its totient is φ = 18980507520.

The previous prime is 71192912389. The next prime is 71192912407. The reversal of 71192912400 is 421929117.

The square root of 71192912400 is 266820.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 25629448464 + 45563463936 = 160092^2 + 213456^2 .

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

It is not an unprimeable number, because it can be changed into a prime (71192912407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16006977 + ... + 16011423.

Almost surely, 2^71192912400 is an apocalyptic number.

71192912400 is the 266820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71192912400

71192912400 is an abundant number, since it is smaller than the sum of its proper divisors (175921838301).

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

71192912400 is an equidigital number, since it uses as much as digits as its factorization.

71192912400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8918 (or 4457 counting only the distinct ones).

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

Multiplying 71192912400 by its sum of digits (36), we get a square (2562944846400 = 1600920²).

71192912400 divided by its sum of digits (36) gives a square (1977580900 = 44470²).

The spelling of 71192912400 in words is "seventy-one billion, one hundred ninety-two million, nine hundred twelve thousand, four hundred".