4572000 has 144 divisors (see below), whose sum is σ = 16353792. Its totient is φ = 1209600.

The previous prime is 4571999. The next prime is 4572017. The reversal of 4572000 is 2754.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35937 + ... + 36063.

It is an arithmetic number, because the mean of its divisors is an integer number (113568).

Almost surely, 2^4572000 is an apocalyptic number.

4572000 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 4572000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8176896).

4572000 is an abundant number, since it is smaller than the sum of its proper divisors (11781792).

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

4572000 is a wasteful number, since it uses less digits than its factorization.

4572000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 4572000 is about 2138.2235617447. The cubic root of 4572000 is about 165.9722216062.

Adding to 4572000 its reverse (2754), we get a palindrome (4574754).

It can be divided in two parts, 45 and 72000, that multiplied together give a square (3240000 = 1800²).

The spelling of 4572000 in words is "four million, five hundred seventy-two thousand".