72666150 has 48 divisors (see below), whose sum is σ = 185096784. Its totient is φ = 18852480.

The previous prime is 72666149. The next prime is 72666163. The reversal of 72666150 is 5166627.

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 23 ways as a sum of consecutive naturals, for example, 997 + ... + 12096.

It is an arithmetic number, because the mean of its divisors is an integer number (3856183).

Almost surely, 2^72666150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72666150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92548392).

72666150 is an abundant number, since it is smaller than the sum of its proper divisors (112430634).

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

72666150 is a wasteful number, since it uses less digits than its factorization.

72666150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13145 (or 13140 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 72666150 is about 8524.4442634110. Note that the first 3 decimals coincide. The cubic root of 72666150 is about 417.2958352521.

It can be divided in two parts, 726 and 66150, that multiplied together give a triangular number (48024900 = T₉₈₀₀).

The spelling of 72666150 in words is "seventy-two million, six hundred sixty-six thousand, one hundred fifty".