4972600 has 72 divisors (see below), whose sum is σ = 12342960. Its totient is φ = 1862080.

The previous prime is 4972589. The next prime is 4972607. The reversal of 4972600 is 62794.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4972607) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 105777 + ... + 105823.

It is an arithmetic number, because the mean of its divisors is an integer number (171430).

Almost surely, 2^4972600 is an apocalyptic number.

4972600 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 4972600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6171480).

4972600 is an abundant number, since it is smaller than the sum of its proper divisors (7370360).

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

4972600 is a wasteful number, since it uses less digits than its factorization.

4972600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 4972600 is about 2229.9327344115. The cubic root of 4972600 is about 170.6846667484.

The spelling of 4972600 in words is "four million, nine hundred seventy-two thousand, six hundred".