75107664 has 30 divisors (see below), whose sum is σ = 210197546. Its totient is φ = 25035840.

The previous prime is 75107657. The next prime is 75107689. The reversal of 75107664 is 46670157.

It can be written as a sum of positive squares in only one way, i.e., 68757264 + 6350400 = 8292^2 + 2520^2 .

It is a super-2 number, since 2×75107664² = 11282322383073792, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 260647 + ... + 260934.

Almost surely, 2^75107664 is an apocalyptic number.

It is an amenable number.

75107664 is an abundant number, since it is smaller than the sum of its proper divisors (135089882).

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

75107664 is a wasteful number, since it uses less digits than its factorization.

75107664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521595 (or 521586 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 75107664 is about 8666.4677925900. The cubic root of 75107664 is about 421.9180302446.

The spelling of 75107664 in words is "seventy-five million, one hundred seven thousand, six hundred sixty-four".