132210072 has 96 divisors (see below), whose sum is σ = 386661600. Its totient is φ = 40685568.

The previous prime is 132210053. The next prime is 132210073. The reversal of 132210072 is 270012231.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132210073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46648 + ... + 49400.

It is an arithmetic number, because the mean of its divisors is an integer number (4027725).

Almost surely, 2^132210072 is an apocalyptic number.

132210072 is a gapful number since it is divisible by the number (12) 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 132210072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193330800).

132210072 is an abundant number, since it is smaller than the sum of its proper divisors (254451528).

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

132210072 is a wasteful number, since it uses less digits than its factorization.

132210072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2817 (or 2810 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 132210072 is about 11498.2638689500. The cubic root of 132210072 is about 509.4342977726.

The spelling of 132210072 in words is "one hundred thirty-two million, two hundred ten thousand, seventy-two".