752488 has 32 divisors (see below), whose sum is σ = 1632960. Its totient is φ = 321280.

The previous prime is 752483. The next prime is 752489. The reversal of 752488 is 884257.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (752483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1245 + ... + 1747.

It is an arithmetic number, because the mean of its divisors is an integer number (51030).

2⁷⁵²⁴⁸⁸ 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 752488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816480).

752488 is an abundant number, since it is smaller than the sum of its proper divisors (880472).

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

752488 is a wasteful number, since it uses less digits than its factorization.

752488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 533 counting only the distinct ones).

The product of its digits is 17920, while the sum is 34.

The square root of 752488 is about 867.4606619323. The cubic root of 752488 is about 90.9563853307.

Subtracting 752488 from its reverse (884257), we obtain a square (131769 = 363²).

The spelling of 752488 in words is "seven hundred fifty-two thousand, four hundred eighty-eight".