4767072 has 96 divisors (see below), whose sum is σ = 13934592. Its totient is φ = 1419264.

The previous prime is 4767067. The next prime is 4767079. The reversal of 4767072 is 2707674.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4767079) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37473 + ... + 37599.

It is an arithmetic number, because the mean of its divisors is an integer number (145152).

Almost surely, 2^4767072 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 4767072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6967296).

4767072 is an abundant number, since it is smaller than the sum of its proper divisors (9167520).

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

4767072 is a wasteful number, since it uses less digits than its factorization.

4767072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 33.

The square root of 4767072 is about 2183.3625443339. The cubic root of 4767072 is about 168.2999177755.

The spelling of 4767072 in words is "four million, seven hundred sixty-seven thousand, seventy-two".