4752132000 has 768 divisors, whose sum is σ = 20077424640. Its totient is φ = 953856000.

The previous prime is 4752131987. The next prime is 4752132001. The reversal of 4752132000 is 2312574.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4752132001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34187931 + ... + 34188069.

It is an arithmetic number, because the mean of its divisors is an integer number (26142480).

Almost surely, 2^4752132000 is an apocalyptic number.

4752132000 is a gapful number since it is divisible by the number (40) 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 4752132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10038712320).

4752132000 is an abundant number, since it is smaller than the sum of its proper divisors (15325292640).

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

4752132000 is a wasteful number, since it uses less digits than its factorization.

4752132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 4752132000 is about 68935.7091789154. The cubic root of 4752132000 is about 1681.2391651343.

Adding to 4752132000 its reverse (2312574), we get a palindrome (4754444574).

The spelling of 4752132000 in words is "four billion, seven hundred fifty-two million, one hundred thirty-two thousand".