72156006 has 24 divisors (see below), whose sum is σ = 168364560. Its totient is φ = 22201776.

The previous prime is 72155971. The next prime is 72156011. The reversal of 72156006 is 60065127.

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, 153946 + ... + 154413.

It is an arithmetic number, because the mean of its divisors is an integer number (7015190).

Almost surely, 2^72156006 is an apocalyptic number.

72156006 is an abundant number, since it is smaller than the sum of its proper divisors (96208554).

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

72156006 is a wasteful number, since it uses less digits than its factorization.

72156006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308380 (or 308377 counting only the distinct ones).

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

The square root of 72156006 is about 8494.4691417416. The cubic root of 72156006 is about 416.3170159664.

The spelling of 72156006 in words is "seventy-two million, one hundred fifty-six thousand, six".