75985140 has 96 divisors (see below), whose sum is σ = 265273344. Its totient is φ = 15788160.

The previous prime is 75985139. The next prime is 75985141. The reversal of 75985140 is 4158957.

It is an interprime number because it is at equal distance from previous prime (75985139) and next prime (75985141).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75985141) 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 31 ways as a sum of consecutive naturals, for example, 3604 + ... + 12843.

It is an arithmetic number, because the mean of its divisors is an integer number (2763264).

Almost surely, 2^75985140 is an apocalyptic number.

75985140 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

75985140 is an abundant number, since it is smaller than the sum of its proper divisors (189288204).

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

75985140 is a wasteful number, since it uses less digits than its factorization.

75985140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16477 (or 16475 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The square root of 75985140 is about 8716.9455659652. The cubic root of 75985140 is about 423.5547494600.

The spelling of 75985140 in words is "seventy-five million, nine hundred eighty-five thousand, one hundred forty".