72042735107 has 16 divisors (see below), whose sum is σ = 85832024064. Its totient is φ = 59167260000.

The previous prime is 72042735103. The next prime is 72042735109. The reversal of 72042735107 is 70153724027.

It is a cyclic number.

It is not a de Polignac number, because 72042735107 - 2² = 72042735103 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72042735103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1621619 + ... + 1665452.

It is an arithmetic number, because the mean of its divisors is an integer number (5364501504).

Almost surely, 2^72042735107 is an apocalyptic number.

72042735107 is a deficient number, since it is larger than the sum of its proper divisors (13789288957).

72042735107 is a wasteful number, since it uses less digits than its factorization.

72042735107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3287210.

The product of its (nonzero) digits is 82320, while the sum is 38.

The spelling of 72042735107 in words is "seventy-two billion, forty-two million, seven hundred thirty-five thousand, one hundred seven".