75466867606272 has 864 divisors, whose sum is σ = 231141034156032. Its totient is φ = 23654321381376.

The previous prime is 75466867606189. The next prime is 75466867606357. The reversal of 75466867606272 is 27260676866457.

It is a happy number.

75466867606272 is a `hidden beast` number, since 7 + 5 + 4 + 6 + 6 + 8 + 6 + 7 + 606 + 2 + 7 + 2 = 666.

It is a super-2 number, since 2×75466867606272² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 75466867606272.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83204925243 + ... + 83204926149.

It is an arithmetic number, because the mean of its divisors is an integer number (267524345088).

Almost surely, 2^{75466867606272} is an apocalyptic number.

75466867606272 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 75466867606272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115570517078016).

75466867606272 is an abundant number, since it is smaller than the sum of its proper divisors (155674166549760).

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

75466867606272 is a wasteful number, since it uses less digits than its factorization.

75466867606272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 1706987520, while the sum is 72.

The spelling of 75466867606272 in words is "seventy-five trillion, four hundred sixty-six billion, eight hundred sixty-seven million, six hundred six thousand, two hundred seventy-two".