75913344 has 192 divisors, whose sum is σ = 243374040. Its totient is φ = 22560768.

The previous prime is 75913337. The next prime is 75913349. The reversal of 75913344 is 44331957.

It can be written as a sum of positive squares in 4 ways, for example, as 68558400 + 7354944 = 8280^2 + 2712^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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 = 75913299 and 75913308.

It is not an unprimeable number, because it can be changed into a prime (75913349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 554044 + ... + 554180.

Almost surely, 2^75913344 is an apocalyptic number.

75913344 is a gapful number since it is divisible by the number (74) 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 75913344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121687020).

75913344 is an abundant number, since it is smaller than the sum of its proper divisors (167460696).

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

75913344 is a wasteful number, since it uses less digits than its factorization.

75913344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 192 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 75913344 is about 8712.8264070851. The cubic root of 75913344 is about 423.4213061775.

The spelling of 75913344 in words is "seventy-five million, nine hundred thirteen thousand, three hundred forty-four".