72761516101 has 8 divisors (see below), whose sum is σ = 76623861600. Its totient is φ = 68902449840.

The previous prime is 72761516099. The next prime is 72761516129. The reversal of 72761516101 is 10161516727.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72761516101 - 2¹ = 72761516099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72761516801) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 774190 + ... + 863071.

It is an arithmetic number, because the mean of its divisors is an integer number (9577982700).

Almost surely, 2^72761516101 is an apocalyptic number.

It is an amenable number.

72761516101 is a deficient number, since it is larger than the sum of its proper divisors (3862345499).

72761516101 is a wasteful number, since it uses less digits than its factorization.

72761516101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639619.

The product of its (nonzero) digits is 17640, while the sum is 37.

The spelling of 72761516101 in words is "seventy-two billion, seven hundred sixty-one million, five hundred sixteen thousand, one hundred one".