75645000 has 180 divisors, whose sum is σ = 262404285. Its totient is φ = 19680000.

The previous prime is 75644971. The next prime is 75645001. The reversal of 75645000 is 54657.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 42536484 + 33108516 = 6522^2 + 5754^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=6150.

It is not an unprimeable number, because it can be changed into a prime (75645001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1844980 + ... + 1845020.

Almost surely, 2^75645000 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 75645000

75645000 is an abundant number, since it is smaller than the sum of its proper divisors (186759285).

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

75645000 is a wasteful number, since it uses less digits than its factorization.

75645000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 75645000 is about 8697.4134085945. The cubic root of 75645000 is about 422.9218036968.

Adding to 75645000 its reverse (54657), we get a palindrome (75699657).

The spelling of 75645000 in words is "seventy-five million, six hundred forty-five thousand".