75933040 has 40 divisors (see below), whose sum is σ = 176997600. Its totient is φ = 30295296.

The previous prime is 75933037. The next prime is 75933041. The reversal of 75933040 is 4033957.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 75932993 and 75933011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75933041) 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 7 ways as a sum of consecutive naturals, for example, 37986 + ... + 39934.

It is an arithmetic number, because the mean of its divisors is an integer number (4424940).

Almost surely, 2^75933040 is an apocalyptic number.

It is an amenable number.

75933040 is an abundant number, since it is smaller than the sum of its proper divisors (101064560).

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

75933040 is a wasteful number, since it uses less digits than its factorization.

75933040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449 (or 2443 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 31.

The square root of 75933040 is about 8713.9566214206. The cubic root of 75933040 is about 423.4579224229.

Adding to 75933040 its reverse (4033957), we get a palindrome (79966997).

The spelling of 75933040 in words is "seventy-five million, nine hundred thirty-three thousand, forty".