212792832 has 200 divisors, whose sum is σ = 726853776. Its totient is φ = 60715008.

The previous prime is 212792821. The next prime is 212792843. The reversal of 212792832 is 238297212.

It is an interprime number because it is at equal distance from previous prime (212792821) and next prime (212792843).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 289938 + ... + 290670.

Almost surely, 2^212792832 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 212792832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363426888).

212792832 is an abundant number, since it is smaller than the sum of its proper divisors (514060944).

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

212792832 is an frugal number, since it uses more digits than its factorization.

212792832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 745 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 212792832 is about 14587.4203339727. The cubic root of 212792832 is about 597.0155800080.

The spelling of 212792832 in words is "two hundred twelve million, seven hundred ninety-two thousand, eight hundred thirty-two".