75243744 has 72 divisors (see below), whose sum is σ = 217532952. Its totient is φ = 24664320.

The previous prime is 75243739. The next prime is 75243793. The reversal of 75243744 is 44734257.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×75243744² = 11323242022275072, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 75243699 and 75243708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15427 + ... + 19709.

It is an arithmetic number, because the mean of its divisors is an integer number (3021291).

Almost surely, 2^75243744 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 75243744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108766476).

75243744 is an abundant number, since it is smaller than the sum of its proper divisors (142289208).

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

75243744 is a wasteful number, since it uses less digits than its factorization.

75243744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4360 (or 4349 counting only the distinct ones).

The product of its digits is 94080, while the sum is 36.

The square root of 75243744 is about 8674.3151891086. The cubic root of 75243744 is about 422.1726867505.

The spelling of 75243744 in words is "seventy-five million, two hundred forty-three thousand, seven hundred forty-four".