75081965524272 has 320 divisors, whose sum is σ = 262477646069760. Its totient is φ = 20082713308416.

The previous prime is 75081965524259. The next prime is 75081965524309. The reversal of 75081965524272 is 27242556918057.

It is a happy number.

75081965524272 is a `hidden beast` number, since 7 + 5 + 0 + 8 + 1 + 9 + 6 + 552 + 4 + 2 + 72 = 666.

It is a super-2 number, since 2×75081965524272² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8215188 + ... + 14753075.

It is an arithmetic number, because the mean of its divisors is an integer number (820242643968).

Almost surely, 2^{75081965524272} is an apocalyptic number.

75081965524272 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

75081965524272 is an abundant number, since it is smaller than the sum of its proper divisors (187395680545488).

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

75081965524272 is a wasteful number, since it uses less digits than its factorization.

75081965524272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22968357 (or 22968345 counting only the distinct ones).

The product of its (nonzero) digits is 84672000, while the sum is 63.

The spelling of 75081965524272 in words is "seventy-five trillion, eighty-one billion, nine hundred sixty-five million, five hundred twenty-four thousand, two hundred seventy-two".