75113280 has 168 divisors, whose sum is σ = 281964384. Its totient is φ = 18201600.

The previous prime is 75113273. The next prime is 75113281. The reversal of 75113280 is 8231157.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75113281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30495 + ... + 32865.

Almost surely, 2^75113280 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 75113280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140982192).

75113280 is an abundant number, since it is smaller than the sum of its proper divisors (206851104).

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

75113280 is a wasteful number, since it uses less digits than its factorization.

75113280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2405 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 75113280 is about 8666.7917939685. The cubic root of 75113280 is about 421.9285459607.

The spelling of 75113280 in words is "seventy-five million, one hundred thirteen thousand, two hundred eighty".