75081663072 has 240 divisors, whose sum is σ = 251788787712. Its totient is φ = 21742940160.

The previous prime is 75081663067. The next prime is 75081663113. The reversal of 75081663072 is 27036618057.

75081663072 is a `hidden beast` number, since 7 + 5 + 0 + 8 + 1 + 6 + 630 + 7 + 2 = 666.

It is a super-2 number, since 2×75081663072² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 507297 + ... + 638367.

Almost surely, 2^75081663072 is an apocalyptic number.

75081663072 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 75081663072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125894393856).

75081663072 is an abundant number, since it is smaller than the sum of its proper divisors (176707124640).

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

75081663072 is a wasteful number, since it uses less digits than its factorization.

75081663072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131123 (or 131106 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 75081663072 in words is "seventy-five billion, eighty-one million, six hundred sixty-three thousand, seventy-two".