72165006 has 20 divisors (see below), whose sum is σ = 161703432. Its totient is φ = 24054948.

The previous prime is 72165001. The next prime is 72165029. The reversal of 72165006 is 60056127.

72165006 is a `hidden beast` number, since 7 + 2 + 1 + 650 + 0 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72165001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 222570 + ... + 222893.

Almost surely, 2^72165006 is an apocalyptic number.

72165006 is an abundant number, since it is smaller than the sum of its proper divisors (89538426).

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

72165006 is a wasteful number, since it uses less digits than its factorization.

72165006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445477 (or 445468 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 72165006 is about 8494.9988816950. The cubic root of 72165006 is about 416.3343242848.

The spelling of 72165006 in words is "seventy-two million, one hundred sixty-five thousand, six".