75533040 has 360 divisors, whose sum is σ = 303782640. Its totient is φ = 17233920.

The previous prime is 75533033. The next prime is 75533041. The reversal of 75533040 is 4033557.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 75532995 and 75533013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75533041) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4443112 + ... + 4443128.

Almost surely, 2^75533040 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 75533040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151891320).

75533040 is an abundant number, since it is smaller than the sum of its proper divisors (228249600).

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

75533040 is a wasteful number, since it uses less digits than its factorization.

75533040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 75533040 is about 8690.9746288894. The cubic root of 75533040 is about 422.7130491856.

Adding to 75533040 its reverse (4033557), we get a palindrome (79566597).

The spelling of 75533040 in words is "seventy-five million, five hundred thirty-three thousand, forty".