210117072 has 80 divisors (see below), whose sum is σ = 604818432. Its totient is φ = 62309760.

The previous prime is 210117071. The next prime is 210117091. The reversal of 210117072 is 270711012.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210117071) 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, 20583 + ... + 29049.

Almost surely, 2^210117072 is an apocalyptic number.

210117072 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 210117072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302409216).

210117072 is an abundant number, since it is smaller than the sum of its proper divisors (394701360).

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

210117072 is a wasteful number, since it uses less digits than its factorization.

210117072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8536 (or 8530 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 21.

The square root of 210117072 is about 14495.4155511320. The cubic root of 210117072 is about 594.5026298095.

Adding to 210117072 its reverse (270711012), we get a palindrome (480828084).

The spelling of 210117072 in words is "two hundred ten million, one hundred seventeen thousand, seventy-two".