752136432 has 120 divisors (see below), whose sum is σ = 2139446400. Its totient is φ = 227044224.

The previous prime is 752136421. The next prime is 752136443. The reversal of 752136432 is 234631257.

It is an interprime number because it is at equal distance from previous prime (752136421) and next prime (752136443).

It is a junction number, because it is equal to n+sod(n) for n = 752136393 and 752136402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 481669 + ... + 483227.

It is an arithmetic number, because the mean of its divisors is an integer number (17828720).

Almost surely, 2^752136432 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 752136432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069723200).

752136432 is an abundant number, since it is smaller than the sum of its proper divisors (1387309968).

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

752136432 is a wasteful number, since it uses less digits than its factorization.

752136432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635 (or 1606 counting only the distinct ones).

The product of its digits is 30240, while the sum is 33.

The square root of 752136432 is about 27425.1058703517. The cubic root of 752136432 is about 909.4221795718.

Adding to 752136432 its reverse (234631257), we get a palindrome (986767689).

The spelling of 752136432 in words is "seven hundred fifty-two million, one hundred thirty-six thousand, four hundred thirty-two".