107272040 has 64 divisors (see below), whose sum is σ = 259180560. Its totient is φ = 39813120.

The previous prime is 107272019. The next prime is 107272051. The reversal of 107272040 is 40272701.

It can be written as a sum of positive squares in 8 ways, for example, as 72012196 + 35259844 = 8486^2 + 5938^2 .

It is a junction number, because it is equal to n+sod(n) for n = 107271997 and 107272015.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48560 + ... + 50720.

Almost surely, 2^107272040 is an apocalyptic number.

107272040 is a gapful number since it is divisible by the number (10) 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 107272040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129590280).

107272040 is an abundant number, since it is smaller than the sum of its proper divisors (151908520).

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

107272040 is a wasteful number, since it uses less digits than its factorization.

107272040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2262 (or 2258 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 23.

The square root of 107272040 is about 10357.2216351684. The cubic root of 107272040 is about 475.1479354545.

The spelling of 107272040 in words is "one hundred seven million, two hundred seventy-two thousand, forty".