72552000 has 112 divisors (see below), whose sum is σ = 239645952. Its totient is φ = 19340800.

The previous prime is 72551993. The next prime is 72552019. The reversal of 72552000 is 25527.

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, 22489 + ... + 25511.

It is an arithmetic number, because the mean of its divisors is an integer number (2139696).

Almost surely, 2^72552000 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 72552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119822976).

72552000 is an abundant number, since it is smaller than the sum of its proper divisors (167093952).

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

72552000 is a wasteful number, since it uses less digits than its factorization.

72552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3053 (or 3033 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 72552000 is about 8517.7461807687. The cubic root of 72552000 is about 417.0772131288.

Adding to 72552000 its reverse (25527), we get a palindrome (72577527).

It can be divided in two parts, 725 and 52000, that added together give a palindrome (52725).

The spelling of 72552000 in words is "seventy-two million, five hundred fifty-two thousand".