72888101 has 12 divisors (see below), whose sum is σ = 86281356. Its totient is φ = 61163520.

The previous prime is 72888073. The next prime is 72888121. The reversal of 72888101 is 10188827.

It can be written as a sum of positive squares in 2 ways, for example, as 20340100 + 52548001 = 4510^2 + 7249^2 .

It is a de Polignac number, because none of the positive numbers 2^k-72888101 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72888121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21596 + ... + 24741.

It is an arithmetic number, because the mean of its divisors is an integer number (7190113).

Almost surely, 2^72888101 is an apocalyptic number.

It is an amenable number.

72888101 is a deficient number, since it is larger than the sum of its proper divisors (13393255).

72888101 is a wasteful number, since it uses less digits than its factorization.

72888101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46372 (or 46361 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 35.

The square root of 72888101 is about 8537.4528402797. The cubic root of 72888101 is about 417.7202652841.

The spelling of 72888101 in words is "seventy-two million, eight hundred eighty-eight thousand, one hundred one".