72635101742 has 32 divisors (see below), whose sum is σ = 126370243584. Its totient is φ = 30666787200.

The previous prime is 72635101739. The next prime is 72635101757. The reversal of 72635101742 is 24710153627.

It is a junction number, because it is equal to n+sod(n) for n = 72635101696 and 72635101705.

It is a congruent number.

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, 1267142 + ... + 1323222.

It is an arithmetic number, because the mean of its divisors is an integer number (3949070112).

Almost surely, 2^72635101742 is an apocalyptic number.

72635101742 is a deficient number, since it is larger than the sum of its proper divisors (53735141842).

72635101742 is a wasteful number, since it uses less digits than its factorization.

72635101742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57464.

The product of its (nonzero) digits is 70560, while the sum is 38.

The spelling of 72635101742 in words is "seventy-two billion, six hundred thirty-five million, one hundred one thousand, seven hundred forty-two".