71842900 has 36 divisors (see below), whose sum is σ = 160120828. Its totient is φ = 27959040.

The previous prime is 71842879. The next prime is 71842909. The reversal of 71842900 is 924817.

It can be written as a sum of positive squares in 6 ways, for example, as 5550736 + 66292164 = 2356^2 + 8142^2 .

It is a super-2 number, since 2×71842900² = 10322804560820000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71842909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6009 + ... + 13408.

Almost surely, 2^71842900 is an apocalyptic number.

It is an amenable number.

71842900 is an abundant number, since it is smaller than the sum of its proper divisors (88277928).

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

71842900 is a wasteful number, since it uses less digits than its factorization.

71842900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19468 (or 19461 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 71842900 is about 8476.0191127675. The cubic root of 71842900 is about 415.7139691197.

The spelling of 71842900 in words is "seventy-one million, eight hundred forty-two thousand, nine hundred".