75114460 has 48 divisors (see below), whose sum is σ = 165110400. Its totient is φ = 28674560.

The previous prime is 75114451. The next prime is 75114461. The reversal of 75114460 is 6441157.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75114461) 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, 37566 + ... + 39514.

It is an arithmetic number, because the mean of its divisors is an integer number (3439800).

Almost surely, 2^75114460 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 75114460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82555200).

75114460 is an abundant number, since it is smaller than the sum of its proper divisors (89995940).

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

75114460 is a wasteful number, since it uses less digits than its factorization.

75114460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 75114460 is about 8666.8598696414. The cubic root of 75114460 is about 421.9307553928.

The spelling of 75114460 in words is "seventy-five million, one hundred fourteen thousand, four hundred sixty".