72101117 has 6 divisors (see below), whose sum is σ = 79251774. Its totient is φ = 65546360.

The previous prime is 72101111. The next prime is 72101129. The reversal of 72101117 is 71110127.

It can be written as a sum of positive squares in only one way, i.e., 65189476 + 6911641 = 8074^2 + 2629^2 .

It is not a de Polignac number, because 72101117 - 2¹⁸ = 71838973 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 (72101111) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 297818 + ... + 298059.

It is an arithmetic number, because the mean of its divisors is an integer number (13208629).

Almost surely, 2^72101117 is an apocalyptic number.

It is an amenable number.

72101117 is a deficient number, since it is larger than the sum of its proper divisors (7150657).

72101117 is a wasteful number, since it uses less digits than its factorization.

72101117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595899 (or 595888 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 20.

The square root of 72101117 is about 8491.2376600823. The cubic root of 72101117 is about 416.2114252114.

The spelling of 72101117 in words is "seventy-two million, one hundred one thousand, one hundred seventeen".