72635101740 has 36 divisors (see below), whose sum is σ = 220326475824. Its totient is φ = 19369360416.

The previous prime is 72635101739. The next prime is 72635101757. The reversal of 72635101740 is 4710153627.

It is a happy number.

72635101740 is a `hidden beast` number, since 7 + 2 + 635 + 1 + 0 + 17 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 72635101695 and 72635101704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 201763992 + ... + 201764351.

It is an arithmetic number, because the mean of its divisors is an integer number (6120179884).

Almost surely, 2^72635101740 is an apocalyptic number.

It is an amenable number.

72635101740 is an abundant number, since it is smaller than the sum of its proper divisors (147691374084).

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

72635101740 is a wasteful number, since it uses less digits than its factorization.

72635101740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403528358 (or 403528353 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 72635101740 in words is "seventy-two billion, six hundred thirty-five million, one hundred one thousand, seven hundred forty".