75288672 has 72 divisors (see below), whose sum is σ = 215351136. Its totient is φ = 24950016.

The previous prime is 75288671. The next prime is 75288679. The reversal of 75288672 is 27688257.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75288671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56073 + ... + 57399.

It is an arithmetic number, because the mean of its divisors is an integer number (2990988).

Almost surely, 2^75288672 is an apocalyptic number.

75288672 is a gapful number since it is divisible by the number (72) 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 75288672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107675568).

75288672 is an abundant number, since it is smaller than the sum of its proper divisors (140062464).

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

75288672 is a wasteful number, since it uses less digits than its factorization.

75288672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 1529 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 75288672 is about 8676.9045171651. The cubic root of 75288672 is about 422.2566963951.

The spelling of 75288672 in words is "seventy-five million, two hundred eighty-eight thousand, six hundred seventy-two".