4864272 has 80 divisors (see below), whose sum is σ = 14856192. Its totient is φ = 1342080.

The previous prime is 4864271. The next prime is 4864273. The reversal of 4864272 is 2724684.

It is an interprime number because it is at equal distance from previous prime (4864271) and next prime (4864273).

It is a super-2 number, since 2×4864272² = 47322284179968, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4864271) 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, 10183 + ... + 10649.

Almost surely, 2^4864272 is an apocalyptic number.

4864272 is a gapful number since it is divisible by the number (42) 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 4864272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7428096).

4864272 is an abundant number, since it is smaller than the sum of its proper divisors (9991920).

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

4864272 is a wasteful number, since it uses less digits than its factorization.

4864272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 510 counting only the distinct ones).

The product of its digits is 21504, while the sum is 33.

The square root of 4864272 is about 2205.5094649536. The cubic root of 4864272 is about 169.4361016008.

The spelling of 4864272 in words is "four million, eight hundred sixty-four thousand, two hundred seventy-two".