213729792 has 80 divisors (see below), whose sum is σ = 572454432. Its totient is φ = 70860800.

The previous prime is 213729767. The next prime is 213729793. The reversal of 213729792 is 297927312.

It is not an unprimeable number, because it can be changed into a prime (213729793) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 532792 + ... + 533192.

Almost surely, 2^213729792 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 213729792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286227216).

213729792 is an abundant number, since it is smaller than the sum of its proper divisors (358724640).

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

213729792 is an equidigital number, since it uses as much as digits as its factorization.

213729792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 753 counting only the distinct ones).

The product of its digits is 95256, while the sum is 42.

The square root of 213729792 is about 14619.5004018605. The cubic root of 213729792 is about 597.8905479335.

The spelling of 213729792 in words is "two hundred thirteen million, seven hundred twenty-nine thousand, seven hundred ninety-two".