75472741344 has 288 divisors, whose sum is σ = 268020748800. Its totient is φ = 18095109120.

The previous prime is 75472741321. The next prime is 75472741363. The reversal of 75472741344 is 44314727457.

It is a super-2 number, since 2×75472741344² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 75472741293 and 75472741302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1021357 + ... + 1092755.

It is an arithmetic number, because the mean of its divisors is an integer number (930627600).

Almost surely, 2^75472741344 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 75472741344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134010374400).

75472741344 is an abundant number, since it is smaller than the sum of its proper divisors (192548007456).

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

75472741344 is a wasteful number, since it uses less digits than its factorization.

75472741344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71454 (or 71435 counting only the distinct ones).

The product of its digits is 2634240, while the sum is 48.

It can be divided in two parts, 754727413 and 44, that added together give a palindrome (754727457).

The spelling of 75472741344 in words is "seventy-five billion, four hundred seventy-two million, seven hundred forty-one thousand, three hundred forty-four".