75533920 has 96 divisors (see below), whose sum is σ = 222518016. Its totient is φ = 23539200.

The previous prime is 75533897. The next prime is 75533963. The reversal of 75533920 is 2933557.

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, 9255 + ... + 15385.

It is an arithmetic number, because the mean of its divisors is an integer number (2317896).

Almost surely, 2^75533920 is an apocalyptic number.

75533920 is a gapful number since it is divisible by the number (70) 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 75533920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111259008).

75533920 is an abundant number, since it is smaller than the sum of its proper divisors (146984096).

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

75533920 is a wasteful number, since it uses less digits than its factorization.

75533920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6164 (or 6156 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 34.

The square root of 75533920 is about 8691.0252559753. The cubic root of 75533920 is about 422.7146907897.

The spelling of 75533920 in words is "seventy-five million, five hundred thirty-three thousand, nine hundred twenty".