72101097 has 20 divisors (see below), whose sum is σ = 114044436. Its totient is φ = 45239040.

The previous prime is 72101087. The next prime is 72101111. The reversal of 72101097 is 79010127.

It can be written as a sum of positive squares in 2 ways, for example, as 27625536 + 44475561 = 5256^2 + 6669^2 .

It is not a de Polignac number, because 72101097 - 2⁷ = 72100969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 72101097.

It is not an unprimeable number, because it can be changed into a prime (72101017) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24804 + ... + 27557.

Almost surely, 2^72101097 is an apocalyptic number.

It is an amenable number.

72101097 is a deficient number, since it is larger than the sum of its proper divisors (41943339).

72101097 is a wasteful number, since it uses less digits than its factorization.

72101097 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52390 (or 52381 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 72101097 is about 8491.2364823976. The cubic root of 72101097 is about 416.2113867274.

The spelling of 72101097 in words is "seventy-two million, one hundred one thousand, ninety-seven".