752482220 has 216 divisors, whose sum is σ = 2053937088. Its totient is φ = 229985280.

The previous prime is 752482201. The next prime is 752482223. The reversal of 752482220 is 22284257.

It is a super-2 number, since 2×752482220² = 1132458982832256800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (752482223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16010237 + ... + 16010283.

It is an arithmetic number, because the mean of its divisors is an integer number (9508968).

Almost surely, 2^752482220 is an apocalyptic number.

752482220 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 752482220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026968544).

752482220 is an abundant number, since it is smaller than the sum of its proper divisors (1301454868).

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

752482220 is a wasteful number, since it uses less digits than its factorization.

752482220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 32.

The square root of 752482220 is about 27431.4093695530. The cubic root of 752482220 is about 909.5615244585.

The spelling of 752482220 in words is "seven hundred fifty-two million, four hundred eighty-two thousand, two hundred twenty".