210072 has 16 divisors (see below), whose sum is σ = 525240. Its totient is φ = 70016.

The previous prime is 210071. The next prime is 210097. The reversal of 210072 is 270012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210071) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4353 + ... + 4400.

2²¹⁰⁰⁷² is an apocalyptic number.

It is an amenable number.

210072 is an abundant number, since it is smaller than the sum of its proper divisors (315168).

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

210072 is a wasteful number, since it uses less digits than its factorization.

210072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8762 (or 8758 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 210072 is about 458.3361212036. The cubic root of 210072 is about 59.4460118051.

Adding to 210072 its reverse (270012), we get a palindrome (480084).

The spelling of 210072 in words is "two hundred ten thousand, seventy-two", and thus it is an iban number.