72283101 has 24 divisors (see below), whose sum is σ = 106983072. Its totient is φ = 43375200.

The previous prime is 72283093. The next prime is 72283117. The reversal of 72283101 is 10138227.

It is not a de Polignac number, because 72283101 - 2³ = 72283093 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72283171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37911 + ... + 39771.

It is an arithmetic number, because the mean of its divisors is an integer number (4457628).

Almost surely, 2^72283101 is an apocalyptic number.

It is an amenable number.

72283101 is a deficient number, since it is larger than the sum of its proper divisors (34699971).

72283101 is a wasteful number, since it uses less digits than its factorization.

72283101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1993 (or 1982 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 72283101 is about 8501.9468946824. The cubic root of 72283101 is about 416.5613050575.

The spelling of 72283101 in words is "seventy-two million, two hundred eighty-three thousand, one hundred one".