71894100 has 72 divisors (see below), whose sum is σ = 218979040. Its totient is φ = 18161280.

The previous prime is 71894099. The next prime is 71894107. The reversal of 71894100 is 149817.

It is a super-2 number, since 2×71894100² = 10337523229620000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71894107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 607 + ... + 12006.

Almost surely, 2^71894100 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 71894100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109489520).

71894100 is an abundant number, since it is smaller than the sum of its proper divisors (147084940).

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

71894100 is a wasteful number, since it uses less digits than its factorization.

71894100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12649 (or 12642 counting only the distinct ones).

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

The square root of 71894100 is about 8479.0388606257. The cubic root of 71894100 is about 415.8127007548.

The spelling of 71894100 in words is "seventy-one million, eight hundred ninety-four thousand, one hundred".