213721872 has 160 divisors (see below), whose sum is σ = 687122688. Its totient is φ = 55738368.

The previous prime is 213721867. The next prime is 213721891. The reversal of 213721872 is 278127312.

It is a nude number because it is divisible by every one of its digits.

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, 493368 + ... + 493800.

Almost surely, 2^213721872 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 213721872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343561344).

213721872 is an abundant number, since it is smaller than the sum of its proper divisors (473400816).

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

213721872 is a wasteful number, since it uses less digits than its factorization.

213721872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 571 counting only the distinct ones).

The product of its digits is 9408, while the sum is 33.

The square root of 213721872 is about 14619.2295282617. The cubic root of 213721872 is about 597.8831626713.

The spelling of 213721872 in words is "two hundred thirteen million, seven hundred twenty-one thousand, eight hundred seventy-two".