4972720 has 40 divisors (see below), whose sum is σ = 11762640. Its totient is φ = 1954560.

The previous prime is 4972691. The next prime is 4972727. The reversal of 4972720 is 272794.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (4972727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4371 + ... + 5389.

It is an arithmetic number, because the mean of its divisors is an integer number (294066).

Almost surely, 2^4972720 is an apocalyptic number.

4972720 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 4972720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5881320).

4972720 is an abundant number, since it is smaller than the sum of its proper divisors (6789920).

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

4972720 is a wasteful number, since it uses less digits than its factorization.

4972720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 4972720 is about 2229.9596408904. The cubic root of 4972720 is about 170.6860397387.

The spelling of 4972720 in words is "four million, nine hundred seventy-two thousand, seven hundred twenty".