4752972 has 48 divisors (see below), whose sum is σ = 14085120. Its totient is φ = 1357776.

The previous prime is 4752949. The next prime is 4752977. The reversal of 4752972 is 2792574.

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 4¹¹ + 7⁵ + 5 + 2⁵ + 9³ + 7⁵ + 2¹⁹ .

It is not an unprimeable number, because it can be changed into a prime (4752977) 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, 2388 + ... + 3899.

It is an arithmetic number, because the mean of its divisors is an integer number (293440).

Almost surely, 2^4752972 is an apocalyptic number.

4752972 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4752972 is an abundant number, since it is smaller than the sum of its proper divisors (9332148).

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

4752972 is a wasteful number, since it uses less digits than its factorization.

4752972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6307 (or 6299 counting only the distinct ones).

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

The square root of 4752972 is about 2180.1311887132. The cubic root of 4752972 is about 168.1338219460.

The spelling of 4752972 in words is "four million, seven hundred fifty-two thousand, nine hundred seventy-two".