107079072 has 24 divisors (see below), whose sum is σ = 281082816. Its totient is φ = 35692992.

The previous prime is 107079043. The next prime is 107079097. The reversal of 107079072 is 270970701.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×107079072² = 22931855320762368, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 557608 + ... + 557799.

It is an arithmetic number, because the mean of its divisors is an integer number (11711784).

Almost surely, 2^107079072 is an apocalyptic number.

107079072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107079072 is an abundant number, since it is smaller than the sum of its proper divisors (174003744).

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

107079072 is a wasteful number, since it uses less digits than its factorization.

107079072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115420 (or 1115412 counting only the distinct ones).

The product of its (nonzero) digits is 6174, while the sum is 33.

The square root of 107079072 is about 10347.9018163104. The cubic root of 107079072 is about 474.8628553281.

The spelling of 107079072 in words is "one hundred seven million, seventy-nine thousand, seventy-two".