752007672 has 256 divisors, whose sum is σ = 2380492800. Its totient is φ = 218350080.

The previous prime is 752007623. The next prime is 752007673. The reversal of 752007672 is 276700257.

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 (752007673) 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 63 ways as a sum of consecutive naturals, for example, 4613463 + ... + 4613625.

It is an arithmetic number, because the mean of its divisors is an integer number (9298800).

Almost surely, 2^752007672 is an apocalyptic number.

752007672 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 752007672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190246400).

752007672 is an abundant number, since it is smaller than the sum of its proper divisors (1628485128).

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

752007672 is a wasteful number, since it uses less digits than its factorization.

752007672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 752007672 is about 27422.7582857742. The cubic root of 752007672 is about 909.3702812381.

The spelling of 752007672 in words is "seven hundred fifty-two million, seven thousand, six hundred seventy-two".