72101889 has 12 divisors (see below), whose sum is σ = 106112916. Its totient is φ = 47160672.

The previous prime is 72101857. The next prime is 72101951. The reversal of 72101889 is 98810127.

It can be written as a sum of positive squares in 2 ways, for example, as 33872400 + 38229489 = 5820^2 + 6183^2 .

It is not a de Polignac number, because 72101889 - 2⁵ = 72101857 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72101819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75102 + ... + 76055.

It is an arithmetic number, because the mean of its divisors is an integer number (8842743).

Almost surely, 2^72101889 is an apocalyptic number.

It is an amenable number.

72101889 is a deficient number, since it is larger than the sum of its proper divisors (34011027).

72101889 is a wasteful number, since it uses less digits than its factorization.

72101889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151216 (or 151213 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 72101889 is about 8491.2831185870. The cubic root of 72101889 is about 416.2129106904.

The spelling of 72101889 in words is "seventy-two million, one hundred one thousand, eight hundred eighty-nine".