4764672 has 132 divisors (see below), whose sum is σ = 15327936. Its totient is φ = 1413120.

The previous prime is 4764667. The next prime is 4764673. The reversal of 4764672 is 2764674.

4764672 is a `hidden beast` number, since 4 + 7 + 646 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (132).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (56448) is a multiple of the sum of its prime divisors (63).

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4764673) 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, 101353 + ... + 101399.

Almost surely, 2^4764672 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 4764672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7663968).

4764672 is an abundant number, since it is smaller than the sum of its proper divisors (10563264).

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

4764672 is a wasteful number, since it uses less digits than its factorization.

4764672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 63 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 4764672 is about 2182.8128641732. The cubic root of 4764672 is about 168.2716692960.

The spelling of 4764672 in words is "four million, seven hundred sixty-four thousand, six hundred seventy-two".