752125000 has 112 divisors (see below), whose sum is σ = 1926537840. Its totient is φ = 273000000.

The previous prime is 752124991. The next prime is 752125009. The reversal of 752125000 is 521257.

It is an interprime number because it is at equal distance from previous prime (752124991) and next prime (752125009).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (752125009) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 1374727 + ... + 1375273.

Almost surely, 2^752125000 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 752125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963268920).

752125000 is an abundant number, since it is smaller than the sum of its proper divisors (1174412840).

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

752125000 is an equidigital number, since it uses as much as digits as its factorization.

752125000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 22.

The square root of 752125000 is about 27424.8974473926. The cubic root of 752125000 is about 909.4175720004.

Adding to 752125000 its reverse (521257), we get a palindrome (752646257).

The spelling of 752125000 in words is "seven hundred fifty-two million, one hundred twenty-five thousand".