208232772 has 72 divisors (see below), whose sum is σ = 543048576. Its totient is φ = 62040000.

The previous prime is 208232749. The next prime is 208232821. The reversal of 208232772 is 277232802.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87397 + ... + 89747.

Almost surely, 2^208232772 is an apocalyptic number.

208232772 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208232772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271524288).

208232772 is an abundant number, since it is smaller than the sum of its proper divisors (334815804).

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

208232772 is a wasteful number, since it uses less digits than its factorization.

208232772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2441 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 208232772 is about 14430.2727624948. The cubic root of 208232772 is about 592.7201524818.

The spelling of 208232772 in words is "two hundred eight million, two hundred thirty-two thousand, seven hundred seventy-two".