75344672 has 48 divisors (see below), whose sum is σ = 161017920. Its totient is φ = 34497792.

The previous prime is 75344669. The next prime is 75344677. The reversal of 75344672 is 27644357.

It is not an unprimeable number, because it can be changed into a prime (75344677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57173 + ... + 58475.

It is an arithmetic number, because the mean of its divisors is an integer number (3354540).

Almost surely, 2^75344672 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 75344672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80508960).

75344672 is an abundant number, since it is smaller than the sum of its proper divisors (85673248).

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

75344672 is a wasteful number, since it uses less digits than its factorization.

75344672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465 (or 1457 counting only the distinct ones).

The product of its digits is 141120, while the sum is 38.

The square root of 75344672 is about 8680.1308745894. The cubic root of 75344672 is about 422.3613624936.

The spelling of 75344672 in words is "seventy-five million, three hundred forty-four thousand, six hundred seventy-two".