202125072 has 80 divisors (see below), whose sum is σ = 534822912. Its totient is φ = 65761920.

The previous prime is 202125061. The next prime is 202125073. The reversal of 202125072 is 270521202.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (202125073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 432583 + ... + 433049.

Almost surely, 2^202125072 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 202125072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267411456).

202125072 is an abundant number, since it is smaller than the sum of its proper divisors (332697840).

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

202125072 is a wasteful number, since it uses less digits than its factorization.

202125072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 202125072 is about 14217.0697402805. The cubic root of 202125072 is about 586.8675041261.

Adding to 202125072 its reverse (270521202), we get a palindrome (472646274).

The spelling of 202125072 in words is "two hundred two million, one hundred twenty-five thousand, seventy-two".