75322368 has 132 divisors (see below), whose sum is σ = 237583008. Its totient is φ = 22794240.

The previous prime is 75322363. The next prime is 75322399. The reversal of 75322368 is 86322357.

It is a tau number, because it is divible by the number of its divisors (132).

It is a super-2 number, since 2×75322368² = 11346918242254848, 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 not an unprimeable number, because it can be changed into a prime (75322361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101005 + ... + 101747.

Almost surely, 2^75322368 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 75322368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118791504).

75322368 is an abundant number, since it is smaller than the sum of its proper divisors (162260640).

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

75322368 is a wasteful number, since it uses less digits than its factorization.

75322368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 759 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 75322368 is about 8678.8460062384. The cubic root of 75322368 is about 422.3196816983.

The spelling of 75322368 in words is "seventy-five million, three hundred twenty-two thousand, three hundred sixty-eight".