72142180 has 48 divisors (see below), whose sum is σ = 168811776. Its totient is φ = 25671680.

The previous prime is 72142171. The next prime is 72142181. The reversal of 72142180 is 8124127.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (72142181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6852 + ... + 13828.

It is an arithmetic number, because the mean of its divisors is an integer number (3516912).

Almost surely, 2^72142180 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 72142180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84405888).

72142180 is an abundant number, since it is smaller than the sum of its proper divisors (96669596).

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

72142180 is a wasteful number, since it uses less digits than its factorization.

72142180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7044 (or 7042 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 72142180 is about 8493.6552790892. The cubic root of 72142180 is about 416.2904237391.

The spelling of 72142180 in words is "seventy-two million, one hundred forty-two thousand, one hundred eighty".