755138772 has 144 divisors (see below), whose sum is σ = 2057786640. Its totient is φ = 233017344.

The previous prime is 755138729. The next prime is 755138777. The reversal of 755138772 is 277831557.

It can be written as a sum of positive squares in 8 ways, for example, as 17690436 + 737448336 = 4206^2 + 27156^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (755138777) 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, 4364878 + ... + 4365050.

It is an arithmetic number, because the mean of its divisors is an integer number (14290185).

Almost surely, 2^755138772 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 755138772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028893320).

755138772 is an abundant number, since it is smaller than the sum of its proper divisors (1302647868).

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

755138772 is a wasteful number, since it uses less digits than its factorization.

755138772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 357 counting only the distinct ones).

The product of its digits is 411600, while the sum is 45.

The square root of 755138772 is about 27479.7884271331. The cubic root of 755138772 is about 910.6306347975.

The spelling of 755138772 in words is "seven hundred fifty-five million, one hundred thirty-eight thousand, seven hundred seventy-two".