72084060 has 96 divisors (see below), whose sum is σ = 226195200. Its totient is φ = 19056960.

The previous prime is 72084059. The next prime is 72084079. The reversal of 72084060 is 6048027.

It is a super-2 number, since 2×72084060² = 10392223412167200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70231 + ... + 71249.

It is an arithmetic number, because the mean of its divisors is an integer number (2356200).

Almost surely, 2^72084060 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 72084060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113097600).

72084060 is an abundant number, since it is smaller than the sum of its proper divisors (154111140).

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

72084060 is a wasteful number, since it uses less digits than its factorization.

72084060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 72084060 is about 8490.2332123446. The cubic root of 72084060 is about 416.1786015027.

The spelling of 72084060 in words is "seventy-two million, eighty-four thousand, sixty".