752472 has 48 divisors (see below), whose sum is σ = 2330640. Its totient is φ = 214848.

The previous prime is 752459. The next prime is 752483. The reversal of 752472 is 274257.

It is a super-2 number, since 2×752472² = 1132428221568, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

752472 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 243 + ... + 1250.

It is an arithmetic number, because the mean of its divisors is an integer number (48555).

2⁷⁵²⁴⁷² is an apocalyptic number.

752472 is a gapful number since it is divisible by the number (72) 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 752472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165320).

752472 is an abundant number, since it is smaller than the sum of its proper divisors (1578168).

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

752472 is a wasteful number, since it uses less digits than its factorization.

752472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512 (or 1505 counting only the distinct ones).

The product of its digits is 3920, while the sum is 27.

The square root of 752472 is about 867.4514395630. The cubic root of 752472 is about 90.9557406638.

The spelling of 752472 in words is "seven hundred fifty-two thousand, four hundred seventy-two".