752405472 has 288 divisors, whose sum is σ = 2773854720. Its totient is φ = 187868160.

The previous prime is 752405419. The next prime is 752405477. The reversal of 752405472 is 274504257.

It is a happy number.

752405472 is a `hidden beast` number, since 75 + 2 + 40 + 547 + 2 = 666.

752405472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×752405472² = 1132227988591085568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (752405477) 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, 497197 + ... + 498707.

It is an arithmetic number, because the mean of its divisors is an integer number (9631440).

Almost surely, 2^752405472 is an apocalyptic number.

752405472 is a gapful number since it is divisible by the number (72) 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 752405472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386927360).

752405472 is an abundant number, since it is smaller than the sum of its proper divisors (2021449248).

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

752405472 is a wasteful number, since it uses less digits than its factorization.

752405472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566 (or 1555 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 752405472 is about 27430.0104265383. The cubic root of 752405472 is about 909.5306004050.

The spelling of 752405472 in words is "seven hundred fifty-two million, four hundred five thousand, four hundred seventy-two".