75117000 has 256 divisors, whose sum is σ = 277056000. Its totient is φ = 16934400.

The previous prime is 75116981. The next prime is 75117017. The reversal of 75117000 is 71157.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 1028964 + ... + 1029036.

It is an arithmetic number, because the mean of its divisors is an integer number (1082250).

Almost surely, 2^75117000 is an apocalyptic number.

75117000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75117000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138528000).

75117000 is an abundant number, since it is smaller than the sum of its proper divisors (201939000).

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

75117000 is a wasteful number, since it uses less digits than its factorization.

75117000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 245, while the sum is 21.

The square root of 75117000 is about 8667.0064035975. The cubic root of 75117000 is about 421.9355112105.

Adding to 75117000 its reverse (71157), we get a palindrome (75188157).

The spelling of 75117000 in words is "seventy-five million, one hundred seventeen thousand".