752742144 has 216 divisors, whose sum is σ = 2706517632. Its totient is φ = 195471360.

The previous prime is 752742143. The next prime is 752742157. The reversal of 752742144 is 441247257.

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

It is a junction number, because it is equal to n+sod(n) for n = 752742099 and 752742108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (752742143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175287 + ... + 179529.

Almost surely, 2^752742144 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 752742144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353258816).

752742144 is an abundant number, since it is smaller than the sum of its proper divisors (1953775488).

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

752742144 is a wasteful number, since it uses less digits than its factorization.

752742144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4283 (or 4266 counting only the distinct ones).

The product of its digits is 62720, while the sum is 36.

The square root of 752742144 is about 27436.1466682186. The cubic root of 752742144 is about 909.6662399576. Note that the first 3 decimals are identical.

The spelling of 752742144 in words is "seven hundred fifty-two million, seven hundred forty-two thousand, one hundred forty-four".