71400516 has 96 divisors (see below), whose sum is σ = 189665280. Its totient is φ = 20716800.

The previous prime is 71400509. The next prime is 71400529. The reversal of 71400516 is 61500417.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 427465 + ... + 427631.

It is an arithmetic number, because the mean of its divisors is an integer number (1975680).

Almost surely, 2^71400516 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 71400516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94832640).

71400516 is an abundant number, since it is smaller than the sum of its proper divisors (118264764).

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

71400516 is a wasteful number, since it uses less digits than its factorization.

71400516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 71400516 is about 8449.8826027348. The cubic root of 71400516 is about 414.8589369116.

Subtracting from 71400516 its reverse (61500417), we obtain a palindrome (9900099).

The spelling of 71400516 in words is "seventy-one million, four hundred thousand, five hundred sixteen".