75673120 has 96 divisors (see below), whose sum is σ = 193995648. Its totient is φ = 27783168.

The previous prime is 75673109. The next prime is 75673127. The reversal of 75673120 is 2137657.

It is not an unprimeable number, because it can be changed into a prime (75673127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116637 + ... + 117283.

It is an arithmetic number, because the mean of its divisors is an integer number (2020788).

Almost surely, 2^75673120 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 75673120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96997824).

75673120 is an abundant number, since it is smaller than the sum of its proper divisors (118322528).

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

75673120 is a wasteful number, since it uses less digits than its factorization.

75673120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 31.

The square root of 75673120 is about 8699.0298309639. The cubic root of 75673120 is about 422.9742023474.

The spelling of 75673120 in words is "seventy-five million, six hundred seventy-three thousand, one hundred twenty".