75347712 has 144 divisors (see below), whose sum is σ = 243317760. Its totient is φ = 22809600.

The previous prime is 75347687. The next prime is 75347719. The reversal of 75347712 is 21774357.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75347719) 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 15 ways as a sum of consecutive naturals, for example, 75537 + ... + 76527.

Almost surely, 2^75347712 is an apocalyptic number.

75347712 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 75347712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121658880).

75347712 is an abundant number, since it is smaller than the sum of its proper divisors (167970048).

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

75347712 is a wasteful number, since it uses less digits than its factorization.

75347712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1007 counting only the distinct ones).

The product of its digits is 41160, while the sum is 36.

The square root of 75347712 is about 8680.3059853901. The cubic root of 75347712 is about 422.3670428832.

The spelling of 75347712 in words is "seventy-five million, three hundred forty-seven thousand, seven hundred twelve".