75264140 has 48 divisors (see below), whose sum is σ = 181134912. Its totient is φ = 25733376.

The previous prime is 75264139. The next prime is 75264197. The reversal of 75264140 is 4146257.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85382 + ... + 86258.

It is an arithmetic number, because the mean of its divisors is an integer number (3773644).

Almost surely, 2^75264140 is an apocalyptic number.

75264140 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

75264140 is an abundant number, since it is smaller than the sum of its proper divisors (105870772).

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

75264140 is a wasteful number, since it uses less digits than its factorization.

75264140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 75264140 is about 8675.4907642162. The cubic root of 75264140 is about 422.2108288195.

The spelling of 75264140 in words is "seventy-five million, two hundred sixty-four thousand, one hundred forty".