4572624 has 80 divisors (see below), whose sum is σ = 13967360. Its totient is φ = 1261440.

The previous prime is 4572619. The next prime is 4572629. The reversal of 4572624 is 4262754.

4572624 = T₈₇ + T₈₈ + ... + T₃₀₃.

It is an interprime number because it is at equal distance from previous prime (4572619) and next prime (4572629).

It is a junction number, because it is equal to n+sod(n) for n = 4572591 and 4572600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4572629) 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, 10197 + ... + 10635.

It is an arithmetic number, because the mean of its divisors is an integer number (174592).

Almost surely, 2^4572624 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 4572624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6983680).

4572624 is an abundant number, since it is smaller than the sum of its proper divisors (9394736).

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

4572624 is a wasteful number, since it uses less digits than its factorization.

4572624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 482 counting only the distinct ones).

The product of its digits is 13440, while the sum is 30.

The square root of 4572624 is about 2138.3694722849. The cubic root of 4572624 is about 165.9797720550.

It can be divided in two parts, 457 and 2624, that added together give a triangular number (3081 = T₇₈).

The spelling of 4572624 in words is "four million, five hundred seventy-two thousand, six hundred twenty-four".