72027144 has 192 divisors, whose sum is σ = 237619200. Its totient is φ = 20015424.

The previous prime is 72027143. The next prime is 72027149. The reversal of 72027144 is 44172027.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (72027143) 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, 911697 + ... + 911775.

It is an arithmetic number, because the mean of its divisors is an integer number (1237600).

Almost surely, 2^72027144 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 72027144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118809600).

72027144 is an abundant number, since it is smaller than the sum of its proper divisors (165592056).

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

72027144 is a wasteful number, since it uses less digits than its factorization.

72027144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 72027144 is about 8486.8806990555. The cubic root of 72027144 is about 416.0690374821.

The spelling of 72027144 in words is "seventy-two million, twenty-seven thousand, one hundred forty-four".