72166140 has 144 divisors (see below), whose sum is σ = 234823680. Its totient is φ = 18584640.

The previous prime is 72166117. The next prime is 72166141. The reversal of 72166140 is 4166127.

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 (72166141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150421 + ... + 150899.

It is an arithmetic number, because the mean of its divisors is an integer number (1630720).

Almost surely, 2^72166140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72166140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117411840).

72166140 is an abundant number, since it is smaller than the sum of its proper divisors (162657540).

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

72166140 is a wasteful number, since it uses less digits than its factorization.

72166140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 72166140 is about 8495.0656265858. The cubic root of 72166140 is about 416.3365050308.

The spelling of 72166140 in words is "seventy-two million, one hundred sixty-six thousand, one hundred forty".