202172691072 has 256 divisors, whose sum is σ = 606289305600. Its totient is φ = 59136307200.

The previous prime is 202172691047. The next prime is 202172691109. The reversal of 202172691072 is 270196271202.

202172691072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 202172691072.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57482658 + ... + 57486174.

It is an arithmetic number, because the mean of its divisors is an integer number (2368317600).

Almost surely, 2^202172691072 is an apocalyptic number.

202172691072 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 202172691072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303144652800).

202172691072 is an abundant number, since it is smaller than the sum of its proper divisors (404116614528).

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

202172691072 is a wasteful number, since it uses less digits than its factorization.

202172691072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4015 (or 4003 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The spelling of 202172691072 in words is "two hundred two billion, one hundred seventy-two million, six hundred ninety-one thousand, seventy-two".