752250240 has 384 divisors, whose sum is σ = 3083109120. Its totient is φ = 171694080.

The previous prime is 752250217. The next prime is 752250241. The reversal of 752250240 is 42052257.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (752250241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1088295 + ... + 1088985.

It is an arithmetic number, because the mean of its divisors is an integer number (8028930).

Almost surely, 2^752250240 is an apocalyptic number.

752250240 is a gapful number since it is divisible by the number (70) 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 752250240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541554560).

752250240 is an abundant number, since it is smaller than the sum of its proper divisors (2330858880).

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

752250240 is an equidigital number, since it uses as much as digits as its factorization.

752250240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 752250240 is about 27427.1806790271. The cubic root of 752250240 is about 909.4680463832.

The spelling of 752250240 in words is "seven hundred fifty-two million, two hundred fifty thousand, two hundred forty".