72563400 has 288 divisors, whose sum is σ = 300605760. Its totient is φ = 15275520.

The previous prime is 72563377. The next prime is 72563411. The reversal of 72563400 is 436527.

It is a happy number.

72563400 is a `hidden beast` number, since 7 + 25 + 634 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 163579 + ... + 164021.

It is an arithmetic number, because the mean of its divisors is an integer number (1043770).

Almost surely, 2^72563400 is an apocalyptic number.

72563400 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 72563400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150302880).

72563400 is an abundant number, since it is smaller than the sum of its proper divisors (228042360).

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

72563400 is a wasteful number, since it uses less digits than its factorization.

72563400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 72563400 is about 8518.4153455910. The cubic root of 72563400 is about 417.0990569154.

Adding to 72563400 its reverse (436527), we get a palindrome (72999927).

The spelling of 72563400 in words is "seventy-two million, five hundred sixty-three thousand, four hundred".