72527600 has 60 divisors (see below), whose sum is σ = 179899200. Its totient is φ = 28070400.

The previous prime is 72527573. The next prime is 72527603. The reversal of 72527600 is 672527.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72527603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9476 + ... + 15324.

It is an arithmetic number, because the mean of its divisors is an integer number (2998320).

Almost surely, 2^72527600 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 72527600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89949600).

72527600 is an abundant number, since it is smaller than the sum of its proper divisors (107371600).

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

72527600 is a wasteful number, since it uses less digits than its factorization.

72527600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5898 (or 5887 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 29.

The square root of 72527600 is about 8516.3137565498. The cubic root of 72527600 is about 417.0304520698.

The spelling of 72527600 in words is "seventy-two million, five hundred twenty-seven thousand, six hundred".