202080072 has 64 divisors (see below), whose sum is σ = 532684800. Its totient is φ = 63789120.

The previous prime is 202080061. The next prime is 202080077. The reversal of 202080072 is 270080202.

202080072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (202080077) 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, 32079 + ... + 37857.

It is an arithmetic number, because the mean of its divisors is an integer number (8323200).

Almost surely, 2^202080072 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 202080072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266342400).

202080072 is an abundant number, since it is smaller than the sum of its proper divisors (330604728).

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

202080072 is a wasteful number, since it uses less digits than its factorization.

202080072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5866 (or 5862 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 202080072 is about 14215.4870475830. The cubic root of 202080072 is about 586.8239485897.

The spelling of 202080072 in words is "two hundred two million, eighty thousand, seventy-two".