752271240 has 256 divisors, whose sum is σ = 2691532800. Its totient is φ = 164634624.

The previous prime is 752271229. The next prime is 752271253. The reversal of 752271240 is 42172257.

It is a super-2 number, since 2×752271240² = 1131824037062275200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 752271198 and 752271207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2130904 + ... + 2131256.

It is an arithmetic number, because the mean of its divisors is an integer number (10513800).

Almost surely, 2^752271240 is an apocalyptic number.

752271240 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 752271240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345766400).

752271240 is an abundant number, since it is smaller than the sum of its proper divisors (1939261560).

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

752271240 is a wasteful number, since it uses less digits than its factorization.

752271240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 752271240 is about 27427.5635082666. The cubic root of 752271240 is about 909.4765092812.

It can be divided in two parts, 75227 and 1240, that added together give a palindrome (76467).

The spelling of 752271240 in words is "seven hundred fifty-two million, two hundred seventy-one thousand, two hundred forty".