75114000 has 320 divisors, whose sum is σ = 292481280. Its totient is φ = 18316800.

The previous prime is 75113999. The next prime is 75114019. The reversal of 75114000 is 41157.

It is a super-2 number, since 2×75114000² = 11284225992000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 701947 + ... + 702053.

It is an arithmetic number, because the mean of its divisors is an integer number (914004).

Almost surely, 2^75114000 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 75114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146240640).

75114000 is an abundant number, since it is smaller than the sum of its proper divisors (217367280).

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

75114000 is a wasteful number, since it uses less digits than its factorization.

75114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 75114000 is about 8666.8333317308. The cubic root of 75114000 is about 421.9298940915.

Adding to 75114000 its reverse (41157), we get a palindrome (75155157).

It can be divided in two parts, 7511 and 4000, that added together give a palindrome (11511).

The spelling of 75114000 in words is "seventy-five million, one hundred fourteen thousand".