4762720 has 72 divisors (see below), whose sum is σ = 12068784. Its totient is φ = 1775616.

The previous prime is 4762663. The next prime is 4762721. The reversal of 4762720 is 272674.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4762721) 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, 46189 + ... + 46291.

It is an arithmetic number, because the mean of its divisors is an integer number (167622).

Almost surely, 2^4762720 is an apocalyptic number.

4762720 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 4762720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6034392).

4762720 is an abundant number, since it is smaller than the sum of its proper divisors (7306064).

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

4762720 is a wasteful number, since it uses less digits than its factorization.

4762720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 4762720 is about 2182.3656888798. The cubic root of 4762720 is about 168.2486868700.

The spelling of 4762720 in words is "four million, seven hundred sixty-two thousand, seven hundred twenty".