4972896 has 72 divisors (see below), whose sum is σ = 14624064. Its totient is φ = 1601280.

The previous prime is 4972867. The next prime is 4972897. The reversal of 4972896 is 6982794.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4972897) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8650 + ... + 9206.

It is an arithmetic number, because the mean of its divisors is an integer number (203112).

Almost surely, 2^4972896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4972896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7312032).

4972896 is an abundant number, since it is smaller than the sum of its proper divisors (9651168).

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

4972896 is a wasteful number, since it uses less digits than its factorization.

4972896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 593 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 4972896 is about 2229.9991031388. Note that the first 3 decimals coincide. The cubic root of 4972896 is about 170.6880534179.

The spelling of 4972896 in words is "four million, nine hundred seventy-two thousand, eight hundred ninety-six".