75409968 has 40 divisors (see below), whose sum is σ = 195599088. Its totient is φ = 25034752.

The previous prime is 75409963. The next prime is 75409973. The reversal of 75409968 is 86990457.

It is an interprime number because it is at equal distance from previous prime (75409963) and next prime (75409973).

It is a super-2 number, since 2×75409968² = 11373326547522048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (75409963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9280 + ... + 15392.

Almost surely, 2^75409968 is an apocalyptic number.

It is an amenable number.

75409968 is an abundant number, since it is smaller than the sum of its proper divisors (120189120).

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

75409968 is a wasteful number, since it uses less digits than its factorization.

75409968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6381 (or 6375 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 75409968 is about 8683.8912936540. The cubic root of 75409968 is about 422.4833376947.

The spelling of 75409968 in words is "seventy-five million, four hundred nine thousand, nine hundred sixty-eight".