75169920 has 384 divisors, whose sum is σ = 301397760. Its totient is φ = 15826944.

The previous prime is 75169907. The next prime is 75169921. The reversal of 75169920 is 2996157.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75169921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1599337 + ... + 1599383.

It is an arithmetic number, because the mean of its divisors is an integer number (784890).

Almost surely, 2^75169920 is an apocalyptic number.

75169920 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 75169920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150698880).

75169920 is an abundant number, since it is smaller than the sum of its proper divisors (226227840).

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

75169920 is a wasteful number, since it uses less digits than its factorization.

75169920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 39.

The square root of 75169920 is about 8670.0588233299. The cubic root of 75169920 is about 422.0345726113.

The spelling of 75169920 in words is "seventy-five million, one hundred sixty-nine thousand, nine hundred twenty".