202672314 has 64 divisors (see below), whose sum is σ = 486864000. Its totient is φ = 62125056.

The previous prime is 202672303. The next prime is 202672331. The reversal of 202672314 is 413276202.

It is a super-2 number, since 2×202672314² = 82152133724229192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 314877 + ... + 315519.

It is an arithmetic number, because the mean of its divisors is an integer number (7607250).

Almost surely, 2^202672314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202672314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243432000).

202672314 is an abundant number, since it is smaller than the sum of its proper divisors (284191686).

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

202672314 is a wasteful number, since it uses less digits than its factorization.

202672314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 202672314 is about 14236.3026801203. The cubic root of 202672314 is about 587.3966635211.

The spelling of 202672314 in words is "two hundred two million, six hundred seventy-two thousand, three hundred fourteen".