107485272 has 128 divisors (see below), whose sum is σ = 312984000. Its totient is φ = 34145280.

The previous prime is 107485247. The next prime is 107485289. The reversal of 107485272 is 272584701.

107485272 is a `hidden beast` number, since 107 + 485 + 2 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 469254 + ... + 469482.

Almost surely, 2^107485272 is an apocalyptic number.

107485272 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 107485272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156492000).

107485272 is an abundant number, since it is smaller than the sum of its proper divisors (205498728).

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

107485272 is a wasteful number, since it uses less digits than its factorization.

107485272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 107485272 is about 10367.5104051069. The cubic root of 107485272 is about 475.4625551423.

The spelling of 107485272 in words is "one hundred seven million, four hundred eighty-five thousand, two hundred seventy-two".