210072960 has 128 divisors (see below), whose sum is σ = 744069600. Its totient is φ = 56014848.

The previous prime is 210072943. The next prime is 210073021. The reversal of 210072960 is 69270012.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11202 + ... + 23358.

Almost surely, 2^210072960 is an apocalyptic number.

210072960 is a gapful number since it is divisible by the number (20) 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 210072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372034800).

210072960 is an abundant number, since it is smaller than the sum of its proper divisors (533996640).

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

210072960 is a wasteful number, since it uses less digits than its factorization.

210072960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12185 (or 12167 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 210072960 is about 14493.8938867373. The cubic root of 210072960 is about 594.4610235830.

The spelling of 210072960 in words is "two hundred ten million, seventy-two thousand, nine hundred sixty".