75444096 has 256 divisors, whose sum is σ = 263208960. Its totient is φ = 18579456.

The previous prime is 75444091. The next prime is 75444137. The reversal of 75444096 is 69044457.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75444091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 593985 + ... + 594111.

It is an arithmetic number, because the mean of its divisors is an integer number (1028160).

Almost surely, 2^75444096 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 75444096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131604480).

75444096 is an abundant number, since it is smaller than the sum of its proper divisors (187764864).

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

75444096 is a wasteful number, since it uses less digits than its factorization.

75444096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 75444096 is about 8685.8560890680. The cubic root of 75444096 is about 422.5470619705.

It can be divided in two parts, 754 and 44096, that added together give a triangular number (44850 = T₂₉₉).

The spelling of 75444096 in words is "seventy-five million, four hundred forty-four thousand, ninety-six".