754875072 has 224 divisors, whose sum is σ = 2686141440. Its totient is φ = 202936320.

The previous prime is 754875071. The next prime is 754875083. The reversal of 754875072 is 270578457.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (754875071) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 203797 + ... + 207467.

Almost surely, 2^754875072 is an apocalyptic number.

754875072 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 754875072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343070720).

754875072 is an abundant number, since it is smaller than the sum of its proper divisors (1931266368).

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

754875072 is a wasteful number, since it uses less digits than its factorization.

754875072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3716 (or 3700 counting only the distinct ones).

The product of its (nonzero) digits is 548800, while the sum is 45.

The square root of 754875072 is about 27474.9899363039. The cubic root of 754875072 is about 910.5246228234.

It can be divided in two parts, 754 and 875072, that added together give a triangular number (875826 = T₁₃₂₃).

The spelling of 754875072 in words is "seven hundred fifty-four million, eight hundred seventy-five thousand, seventy-two".