72000360 has 128 divisors (see below), whose sum is σ = 242064000. Its totient is φ = 19035648.

The previous prime is 72000353. The next prime is 72000371. The reversal of 72000360 is 6300027.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175836 + ... + 176244.

It is an arithmetic number, because the mean of its divisors is an integer number (1891125).

Almost surely, 2^72000360 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 72000360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121032000).

72000360 is an abundant number, since it is smaller than the sum of its proper divisors (170063640).

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

72000360 is a wasteful number, since it uses less digits than its factorization.

72000360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 72000360 is about 8485.3025874155. The cubic root of 72000360 is about 416.0174579705.

Adding to 72000360 its reverse (6300027), we get a palindrome (78300387).

The spelling of 72000360 in words is "seventy-two million, three hundred sixty", and thus it is an aban number.