75225920 has 224 divisors, whose sum is σ = 231745536. Its totient is φ = 22579200.

The previous prime is 75225919. The next prime is 75225929. The reversal of 75225920 is 2952257.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75225929) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1059485 + ... + 1059555.

Almost surely, 2^75225920 is an apocalyptic number.

75225920 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 75225920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115872768).

75225920 is an abundant number, since it is smaller than the sum of its proper divisors (156519616).

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

75225920 is a wasteful number, since it uses less digits than its factorization.

75225920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 75225920 is about 8673.2877272693. The cubic root of 75225920 is about 422.1393488728.

The spelling of 75225920 in words is "seventy-five million, two hundred twenty-five thousand, nine hundred twenty".