71879400 has 336 divisors, whose sum is σ = 274452300. Its totient is φ = 17418240.

The previous prime is 71879399. The next prime is 71879407. The reversal of 71879400 is 497817.

It can be written as a sum of positive squares in 6 ways, for example, as 37234404 + 34644996 = 6102^2 + 5886^2 .

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 (71879407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2478586 + ... + 2478614.

Almost surely, 2^71879400 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 71879400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137226150).

71879400 is an abundant number, since it is smaller than the sum of its proper divisors (202572900).

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

71879400 is a wasteful number, since it uses less digits than its factorization.

71879400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 71879400 is about 8478.1719727781. The cubic root of 71879400 is about 415.7843587752.

The spelling of 71879400 in words is "seventy-one million, eight hundred seventy-nine thousand, four hundred".