756099072 has 288 divisors, whose sum is σ = 2453068800. Its totient is φ = 222953472.

The previous prime is 756099059. The next prime is 756099073. The reversal of 756099072 is 270990657.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×756099072² = 1143371613358522368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (756099073) 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, 5953473 + ... + 5953599.

It is an arithmetic number, because the mean of its divisors is an integer number (8517600).

Almost surely, 2^756099072 is an apocalyptic number.

756099072 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 756099072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226534400).

756099072 is an abundant number, since it is smaller than the sum of its proper divisors (1696969728).

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

756099072 is a wasteful number, since it uses less digits than its factorization.

756099072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 756099072 is about 27497.2557176166. The cubic root of 756099072 is about 911.0164836000.

It can be divided in two parts, 75609 and 9072, that added together give a square (84681 = 291²).

The spelling of 756099072 in words is "seven hundred fifty-six million, ninety-nine thousand, seventy-two".