72010077735 has 64 divisors (see below), whose sum is σ = 121816949760. Its totient is φ = 36252057600.

The previous prime is 72010077677. The next prime is 72010077761. The reversal of 72010077735 is 53777001027.

It is not a de Polignac number, because 72010077735 - 2²⁵ = 71976523303 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72010077693 and 72010077702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9660760 + ... + 9668210.

It is an arithmetic number, because the mean of its divisors is an integer number (1903389840).

Almost surely, 2^72010077735 is an apocalyptic number.

72010077735 is a deficient number, since it is larger than the sum of its proper divisors (49806872025).

72010077735 is a wasteful number, since it uses less digits than its factorization.

72010077735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7848.

The product of its (nonzero) digits is 72030, while the sum is 39.

The spelling of 72010077735 in words is "seventy-two billion, ten million, seventy-seven thousand, seven hundred thirty-five".