72162906 has 8 divisors (see below), whose sum is σ = 144325824. Its totient is φ = 24054300.

The previous prime is 72162899. The next prime is 72162919. The reversal of 72162906 is 60926127.

It is a sphenic number, since it is the product of 3 distinct primes.

72162906 is an admirable number.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6013570 + ... + 6013581.

It is an arithmetic number, because the mean of its divisors is an integer number (18040728).

Almost surely, 2^72162906 is an apocalyptic number.

72162906 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

72162906 is a wasteful number, since it uses less digits than its factorization.

72162906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12027156.

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 72162906 is about 8494.8752786607. The cubic root of 72162906 is about 416.3302858059.

The spelling of 72162906 in words is "seventy-two million, one hundred sixty-two thousand, nine hundred six".