75727314 has 48 divisors (see below), whose sum is σ = 178378200. Its totient is φ = 23079168.

The previous prime is 75727283. The next prime is 75727321. The reversal of 75727314 is 41372757.

75727314 is a `hidden beast` number, since 7 + 572 + 73 + 14 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 33698025 + 42029289 = 5805^2 + 6483^2 .

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24022 + ... + 26990.

Almost surely, 2^75727314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75727314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89189100).

75727314 is an abundant number, since it is smaller than the sum of its proper divisors (102650886).

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

75727314 is a wasteful number, since it uses less digits than its factorization.

75727314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3099 (or 3096 counting only the distinct ones).

The product of its digits is 41160, while the sum is 36.

The square root of 75727314 is about 8702.1442185245. The cubic root of 75727314 is about 423.0751505397.

The spelling of 75727314 in words is "seventy-five million, seven hundred twenty-seven thousand, three hundred fourteen".