4672512 has 132 divisors (see below), whose sum is σ = 14984040. Its totient is φ = 1437696.

The previous prime is 4672489. The next prime is 4672523. The reversal of 4672512 is 2152764.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 359418 + ... + 359430.

Almost surely, 2^4672512 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 4672512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7492020).

4672512 is an abundant number, since it is smaller than the sum of its proper divisors (10311528).

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

4672512 is a wasteful number, since it uses less digits than its factorization.

4672512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 18 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 4672512 is about 2161.5994078460. The cubic root of 4672512 is about 167.1796744292.

Multiplying 4672512 by its sum of digits (27), we get a square (126157824 = 11232²).

4672512 divided by its sum of digits (27) gives a square (173056 = 416²).

It can be divided in two parts, 4672 and 512, that added together give a square (5184 = 72²).

The spelling of 4672512 in words is "four million, six hundred seventy-two thousand, five hundred twelve".