71189400 has 96 divisors (see below), whose sum is σ = 224539200. Its totient is φ = 18652800.

The previous prime is 71189389. The next prime is 71189411. The reversal of 71189400 is 498117.

It is an interprime number because it is at equal distance from previous prime (71189389) and next prime (71189411).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34395 + ... + 36405.

It is an arithmetic number, because the mean of its divisors is an integer number (2338950).

Almost surely, 2^71189400 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 71189400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112269600).

71189400 is an abundant number, since it is smaller than the sum of its proper divisors (153349800).

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

71189400 is a wasteful number, since it uses less digits than its factorization.

71189400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2089 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 71189400 is about 8437.3811102735. The cubic root of 71189400 is about 414.4496503124.

The spelling of 71189400 in words is "seventy-one million, one hundred eighty-nine thousand, four hundred".