72525600 has 216 divisors, whose sum is σ = 292481280. Its totient is φ = 16565760.

The previous prime is 72525589. The next prime is 72525617. The reversal of 72525600 is 652527.

72525600 is a `hidden beast` number, since 7 + 2 + 52 + 5 + 600 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49681 + ... + 51119.

It is an arithmetic number, because the mean of its divisors is an integer number (1354080).

Almost surely, 2^72525600 is an apocalyptic number.

72525600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72525600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146240640).

72525600 is an abundant number, since it is smaller than the sum of its proper divisors (219955680).

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

72525600 is a wasteful number, since it uses less digits than its factorization.

72525600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 72525600 is about 8516.1963340449. The cubic root of 72525600 is about 417.0266187311.

The spelling of 72525600 in words is "seventy-two million, five hundred twenty-five thousand, six hundred".