4732000 has 144 divisors (see below), whose sum is σ = 14388192. Its totient is φ = 1497600.

The previous prime is 4731989. The next prime is 4732003. The reversal of 4732000 is 2374.

It is a super-3 number, since 3×4732000³ (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4732003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 363994 + ... + 364006.

It is an arithmetic number, because the mean of its divisors is an integer number (99918).

Almost surely, 2^4732000 is an apocalyptic number.

4732000 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 4732000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7194096).

4732000 is an abundant number, since it is smaller than the sum of its proper divisors (9656192).

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

4732000 is a wasteful number, since it uses less digits than its factorization.

4732000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 16.

The square root of 4732000 is about 2175.3160689886. The cubic root of 4732000 is about 167.8861662720.

Adding to 4732000 its reverse (2374), we get a palindrome (4734374).

It can be divided in two parts, 473 and 2000, that multiplied together give a triangular number (946000 = T₁₃₇₅).

The spelling of 4732000 in words is "four million, seven hundred thirty-two thousand".