130210272 has 72 divisors (see below), whose sum is σ = 371498400. Its totient is φ = 43261440.

The previous prime is 130210271. The next prime is 130210273. The reversal of 130210272 is 272012031.

It is an interprime number because it is at equal distance from previous prime (130210271) and next prime (130210273).

It is a tau number, because it is divible by the number of its divisors (72).

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 (130210271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123604 + ... + 124652.

It is an arithmetic number, because the mean of its divisors is an integer number (5159700).

Almost surely, 2^130210272 is an apocalyptic number.

130210272 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 130210272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185749200).

130210272 is an abundant number, since it is smaller than the sum of its proper divisors (241288128).

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

130210272 is a wasteful number, since it uses less digits than its factorization.

130210272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496 (or 1485 counting only the distinct ones).

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

The square root of 130210272 is about 11410.9715624920. The cubic root of 130210272 is about 506.8526817759.

The spelling of 130210272 in words is "one hundred thirty million, two hundred ten thousand, two hundred seventy-two".