130246272 has 192 divisors, whose sum is σ = 418118400. Its totient is φ = 39896064.

The previous prime is 130246271. The next prime is 130246297. The reversal of 130246272 is 272642031.

130246272 is a `hidden beast` number, since 1 + 30 + 2 + 4 + 627 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (130246271) 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, 583953 + ... + 584175.

It is an arithmetic number, because the mean of its divisors is an integer number (2177700).

Almost surely, 2^130246272 is an apocalyptic number.

130246272 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 130246272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209059200).

130246272 is an abundant number, since it is smaller than the sum of its proper divisors (287872128).

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

130246272 is a wasteful number, since it uses less digits than its factorization.

130246272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 130246272 is about 11412.5488826993. The cubic root of 130246272 is about 506.8993883194.

It can be divided in two parts, 1302 and 46272, that added together give a palindrome (47574).

The spelling of 130246272 in words is "one hundred thirty million, two hundred forty-six thousand, two hundred seventy-two".