202029972 has 48 divisors (see below), whose sum is σ = 501484032. Its totient is φ = 63083520.

The previous prime is 202029943. The next prime is 202029973. The reversal of 202029972 is 279920202.

It is a super-2 number, since 2×202029972² = 81632219172641568, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202029973) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 43272 + ... + 47712.

It is an arithmetic number, because the mean of its divisors is an integer number (10447584).

Almost surely, 2^202029972 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 202029972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250742016).

202029972 is an abundant number, since it is smaller than the sum of its proper divisors (299454060).

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

202029972 is a wasteful number, since it uses less digits than its factorization.

202029972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4688 (or 4686 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 202029972 is about 14213.7247757229. The cubic root of 202029972 is about 586.7754491517.

The spelling of 202029972 in words is "two hundred two million, twenty-nine thousand, nine hundred seventy-two".