75362938140672 has 2016 divisors, whose sum is σ = 286023043706400. Its totient is φ = 19666502811648.

The previous prime is 75362938140643. The next prime is 75362938140691. The reversal of 75362938140672 is 27604183926357.

It is a happy number.

75362938140672 is a `hidden beast` number, since 7 + 5 + 3 + 62 + 93 + 81 + 406 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-3 number, since 3×75362938140672³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 103662913173 + ... + 103662913899.

It is an arithmetic number, because the mean of its divisors is an integer number (141876509775).

It is a 1-persistent number, because it is pandigital, but 2⋅75362938140672 = 150725876281344 is not.

Almost surely, 2^{75362938140672} is an apocalyptic number.

75362938140672 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 75362938140672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143011521853200).

75362938140672 is an abundant number, since it is smaller than the sum of its proper divisors (210660105565728).

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

75362938140672 is a wasteful number, since it uses less digits than its factorization.

75362938140672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 75362938140672 in words is "seventy-five trillion, three hundred sixty-two billion, nine hundred thirty-eight million, one hundred forty thousand, six hundred seventy-two".