4721200 has 120 divisors (see below), whose sum is σ = 13146480. Its totient is φ = 1612800.

The previous prime is 4721179. The next prime is 4721201. The reversal of 4721200 is 21274.

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

It is not an unprimeable number, because it can be changed into a prime (4721201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127582 + ... + 127618.

It is an arithmetic number, because the mean of its divisors is an integer number (109554).

Almost surely, 2^4721200 is an apocalyptic number.

4721200 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 4721200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6573240).

4721200 is an abundant number, since it is smaller than the sum of its proper divisors (8425280).

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

4721200 is a wasteful number, since it uses less digits than its factorization.

4721200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 4721200 is about 2172.8322530743. The cubic root of 4721200 is about 167.7583449303.

Adding to 4721200 its reverse (21274), we get a palindrome (4742474).

The spelling of 4721200 in words is "four million, seven hundred twenty-one thousand, two hundred".