202680072 has 192 divisors, whose sum is σ = 664560000. Its totient is φ = 55714176.

The previous prime is 202680067. The next prime is 202680073. The reversal of 202680072 is 270086202.

It is not an unprimeable number, because it can be changed into a prime (202680073) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 716043 + ... + 716325.

It is an arithmetic number, because the mean of its divisors is an integer number (3461250).

Almost surely, 2^202680072 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 202680072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332280000).

202680072 is an abundant number, since it is smaller than the sum of its proper divisors (461879928).

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

202680072 is a wasteful number, since it uses less digits than its factorization.

202680072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 202680072 is about 14236.5751499439. The cubic root of 202680072 is about 587.4041583208.

The spelling of 202680072 in words is "two hundred two million, six hundred eighty thousand, seventy-two".