72632761101 has 16 divisors (see below), whose sum is σ = 111314577600. Its totient is φ = 46752121584.

The previous prime is 72632761093. The next prime is 72632761121. The reversal of 72632761101 is 10116723627.

It is a happy number.

72632761101 is a `hidden beast` number, since 7 + 2 + 6 + 32 + 7 + 611 + 0 + 1 = 666.

It is not a de Polignac number, because 72632761101 - 2³ = 72632761093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72632761121) 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, 46380291 + ... + 46381856.

It is an arithmetic number, because the mean of its divisors is an integer number (6957161100).

Almost surely, 2^72632761101 is an apocalyptic number.

It is an amenable number.

72632761101 is a deficient number, since it is larger than the sum of its proper divisors (38681816499).

72632761101 is a wasteful number, since it uses less digits than its factorization.

72632761101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92762185 (or 92762179 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 72632761101 in words is "seventy-two billion, six hundred thirty-two million, seven hundred sixty-one thousand, one hundred one".