4759272 has 144 divisors (see below), whose sum is σ = 16005600. Its totient is φ = 1270080.

The previous prime is 4759231. The next prime is 4759301. The reversal of 4759272 is 2729574.

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

It is a d-powerful number, because it can be written as 4³ + 7 + 5⁶ + 9⁶ + 2¹⁰ + 7⁵ + 2²² .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 66997 + ... + 67067.

It is an arithmetic number, because the mean of its divisors is an integer number (111150).

Almost surely, 2^4759272 is an apocalyptic number.

4759272 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 4759272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8002800).

4759272 is an abundant number, since it is smaller than the sum of its proper divisors (11246328).

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

4759272 is a wasteful number, since it uses less digits than its factorization.

4759272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 102 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 4759272 is about 2181.5755774211. The cubic root of 4759272 is about 168.2080755161.

It can be divided in two parts, 47 and 59272, that added together give a cube (59319 = 39³).

The spelling of 4759272 in words is "four million, seven hundred fifty-nine thousand, two hundred seventy-two".