75163680 has 192 divisors, whose sum is σ = 267079680. Its totient is φ = 19740672.

The previous prime is 75163663. The next prime is 75163691. The reversal of 75163680 is 8636157.

It is a super-2 number, since 2×75163680² = 11299157582284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 548572 + ... + 548708.

It is an arithmetic number, because the mean of its divisors is an integer number (1391040).

Almost surely, 2^75163680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75163680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133539840).

75163680 is an abundant number, since it is smaller than the sum of its proper divisors (191916000).

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

75163680 is a wasteful number, since it uses less digits than its factorization.

75163680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 75163680 is about 8669.6989567112. The cubic root of 75163680 is about 422.0228943203.

The spelling of 75163680 in words is "seventy-five million, one hundred sixty-three thousand, six hundred eighty".