75246912 has 126 divisors (see below), whose sum is σ = 233850942. Its totient is φ = 23122944.

The previous prime is 75246911. The next prime is 75246917. The reversal of 75246912 is 21964257.

It can be written as a sum of positive squares in 3 ways, for example, as 5089536 + 70157376 = 2256^2 + 8376^2 .

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 (75246911) 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 17 ways as a sum of consecutive naturals, for example, 96958 + ... + 97730.

Almost surely, 2^75246912 is an apocalyptic number.

75246912 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 75246912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116925471).

75246912 is an abundant number, since it is smaller than the sum of its proper divisors (158604030).

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

75246912 is a wasteful number, since it uses less digits than its factorization.

75246912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 791 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 75246912 is about 8674.4977952617. The cubic root of 75246912 is about 422.1786116032.

The spelling of 75246912 in words is "seventy-five million, two hundred forty-six thousand, nine hundred twelve".