75283936 has 96 divisors (see below), whose sum is σ = 184923648. Its totient is φ = 29376000.

The previous prime is 75283921. The next prime is 75283961. The reversal of 75283936 is 63938257.

It is a junction number, because it is equal to n+sod(n) for n = 75283892 and 75283901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 299811 + ... + 300061.

It is an arithmetic number, because the mean of its divisors is an integer number (1926288).

Almost surely, 2^75283936 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 75283936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92461824).

75283936 is an abundant number, since it is smaller than the sum of its proper divisors (109639712).

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

75283936 is a wasteful number, since it uses less digits than its factorization.

75283936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 376 counting only the distinct ones).

The product of its digits is 272160, while the sum is 43.

The square root of 75283936 is about 8676.6316044880. The cubic root of 75283936 is about 422.2478422537.

The spelling of 75283936 in words is "seventy-five million, two hundred eighty-three thousand, nine hundred thirty-six".