71910400 has 99 divisors (see below), whose sum is σ = 181677391. Its totient is φ = 28221440.

The previous prime is 71910379. The next prime is 71910407. The reversal of 71910400 is 401917.

The square root of 71910400 is 8480.

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

It can be written as a sum of positive squares in 4 ways, for example, as 541696 + 71368704 = 736^2 + 8448^2 .

It is a super-2 number, since 2×71910400² = 10342211256320000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71910407) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1356774 + ... + 1356826.

Almost surely, 2^71910400 is an apocalyptic number.

71910400 is the 8480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71910400

71910400 is an abundant number, since it is smaller than the sum of its proper divisors (109766991).

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

71910400 is an equidigital number, since it uses as much as digits as its factorization.

71910400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

The cubic root of 71910400 is about 415.8441230591.

The spelling of 71910400 in words is "seventy-one million, nine hundred ten thousand, four hundred".