72100206 has 80 divisors (see below), whose sum is σ = 169884000. Its totient is φ = 22825152.

The previous prime is 72100199. The next prime is 72100229. The reversal of 72100206 is 60200127.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 483820 + ... + 483968.

It is an arithmetic number, because the mean of its divisors is an integer number (2123550).

Almost surely, 2^72100206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72100206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84942000).

72100206 is an abundant number, since it is smaller than the sum of its proper divisors (97783794).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72100206 is a wasteful number, since it uses less digits than its factorization.

72100206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 72100206 is about 8491.1840163784. The cubic root of 72100206 is about 416.2096722557.

The spelling of 72100206 in words is "seventy-two million, one hundred thousand, two hundred six".