72102006 has 24 divisors (see below), whose sum is σ = 156428064. Its totient is φ = 24002160.

The previous prime is 72101993. The next prime is 72102031. The reversal of 72102006 is 60020127.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 72102006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14200 + ... + 18596.

It is an arithmetic number, because the mean of its divisors is an integer number (6517836).

Almost surely, 2^72102006 is an apocalyptic number.

72102006 is an abundant number, since it is smaller than the sum of its proper divisors (84326058).

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

72102006 is a wasteful number, since it uses less digits than its factorization.

72102006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5316 (or 5313 counting only the distinct ones).

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

The square root of 72102006 is about 8491.2900080023. The cubic root of 72102006 is about 416.2131358203.

It can be divided in two parts, 7210 and 2006, that added together give a square (9216 = 96²).

The spelling of 72102006 in words is "seventy-two million, one hundred two thousand, six".