4752723600 has 225 divisors, whose sum is σ = 17101795513. Its totient is φ = 1264083840.

The previous prime is 4752723587. The next prime is 4752723607. The reversal of 4752723600 is 63272574.

It is a happy number.

The square root of 4752723600 is 68940.

It is a perfect power (a square), and thus also a powerful number.

4752723600 is a `hidden beast` number, since 4 + 7 + 5 + 27 + 23 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1710980496 + 3041743104 = 41364^2 + 55152^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4752723607) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 12409009 + ... + 12409391.

Almost surely, 2^4752723600 is an apocalyptic number.

4752723600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4752723600 is the 68940-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4752723600

4752723600 is an abundant number, since it is smaller than the sum of its proper divisors (12349071913).

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

4752723600 is an equidigital number, since it uses as much as digits as its factorization.

4752723600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The cubic root of 4752723600 is about 1681.3089288964.

Multiplying 4752723600 by its sum of digits (36), we get a square (171098049600 = 413640²).

4752723600 divided by its sum of digits (36) gives a square (132020100 = 11490²).

The spelling of 4752723600 in words is "four billion, seven hundred fifty-two million, seven hundred twenty-three thousand, six hundred".