202972 has 24 divisors (see below), whose sum is σ = 443520. Its totient is φ = 78960.

The previous prime is 202967. The next prime is 202973. The reversal of 202972 is 279202.

202972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202973) 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, 22 + ... + 637.

It is an arithmetic number, because the mean of its divisors is an integer number (18480).

2²⁰²⁹⁷² is an apocalyptic number.

202972 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 202972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221760).

202972 is an abundant number, since it is smaller than the sum of its proper divisors (240548).

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

202972 is a wasteful number, since it uses less digits than its factorization.

202972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 202972 is about 450.5241391979. The cubic root of 202972 is about 58.7686043388.

It can be divided in two parts, 20 and 2972, that added together give a palindrome (2992).

The spelling of 202972 in words is "two hundred two thousand, nine hundred seventy-two".