75057060 has 96 divisors (see below), whose sum is σ = 231944832. Its totient is φ = 18017280.

The previous prime is 75057043. The next prime is 75057077. The reversal of 75057060 is 6075057.

It is an interprime number because it is at equal distance from previous prime (75057043) and next prime (75057077).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30807 + ... + 33153.

It is an arithmetic number, because the mean of its divisors is an integer number (2416092).

Almost surely, 2^75057060 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 75057060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115972416).

75057060 is an abundant number, since it is smaller than the sum of its proper divisors (156887772).

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

75057060 is a wasteful number, since it uses less digits than its factorization.

75057060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2413 (or 2411 counting only the distinct ones).

The product of its (nonzero) digits is 7350, while the sum is 30.

The square root of 75057060 is about 8663.5477721312. The cubic root of 75057060 is about 421.8232528025.

The spelling of 75057060 in words is "seventy-five million, fifty-seven thousand, sixty".