75772944 has 120 divisors (see below), whose sum is σ = 241906392. Its totient is φ = 21934080.

The previous prime is 75772943. The next prime is 75772981. The reversal of 75772944 is 44927757.

It can be written as a sum of positive squares in 4 ways, for example, as 82944 + 75690000 = 288^2 + 8700^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 75772944.

It is not an unprimeable number, because it can be changed into a prime (75772943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30634 + ... + 33014.

Almost surely, 2^75772944 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 75772944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120953196).

75772944 is an abundant number, since it is smaller than the sum of its proper divisors (166133448).

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

75772944 is a wasteful number, since it uses less digits than its factorization.

75772944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2425 (or 2416 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The square root of 75772944 is about 8704.7655913298. The cubic root of 75772944 is about 423.1601090660.

The spelling of 75772944 in words is "seventy-five million, seven hundred seventy-two thousand, nine hundred forty-four".