75535038 has 64 divisors (see below), whose sum is σ = 174081600. Its totient is φ = 24261120.

The previous prime is 75535037. The next prime is 75535043. The reversal of 75535038 is 83053557.

It is a super-2 number, since 2×75535038² = 11411083931322888, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 75534993 and 75535011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75535037) 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 31 ways as a sum of consecutive naturals, for example, 241170 + ... + 241482.

It is an arithmetic number, because the mean of its divisors is an integer number (2720025).

Almost surely, 2^75535038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75535038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87040800).

75535038 is an abundant number, since it is smaller than the sum of its proper divisors (98546562).

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

75535038 is a wasteful number, since it uses less digits than its factorization.

75535038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 75535038 is about 8691.0895749612. The cubic root of 75535038 is about 422.7167763546.

The spelling of 75535038 in words is "seventy-five million, five hundred thirty-five thousand, thirty-eight".