202745952 has 72 divisors (see below), whose sum is σ = 595183680. Its totient is φ = 65399040.

The previous prime is 202745887. The next prime is 202745957. The reversal of 202745952 is 259547202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×202745952² = 82211842104772608, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202745957) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2427 + ... + 20282.

It is an arithmetic number, because the mean of its divisors is an integer number (8266440).

Almost surely, 2^202745952 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 202745952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297591840).

202745952 is an abundant number, since it is smaller than the sum of its proper divisors (392437728).

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

202745952 is a wasteful number, since it uses less digits than its factorization.

202745952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22756 (or 22745 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 202745952 is about 14238.8887206832. Note that the first 3 decimals coincide. The cubic root of 202745952 is about 587.4677955487.

The spelling of 202745952 in words is "two hundred two million, seven hundred forty-five thousand, nine hundred fifty-two".