72060144 has 80 divisors (see below), whose sum is σ = 212298912. Its totient is φ = 20865024.

The previous prime is 72060133. The next prime is 72060187. The reversal of 72060144 is 44106027.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7212 + ... + 14004.

Almost surely, 2^72060144 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 72060144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106149456).

72060144 is an abundant number, since it is smaller than the sum of its proper divisors (140238768).

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

72060144 is a wasteful number, since it uses less digits than its factorization.

72060144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6834 (or 6828 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 72060144 is about 8488.8246536255. The cubic root of 72060144 is about 416.1325699279.

The spelling of 72060144 in words is "seventy-two million, sixty thousand, one hundred forty-four".