75040672 has 48 divisors (see below), whose sum is σ = 169428672. Its totient is φ = 32048640.

The previous prime is 75040663. The next prime is 75040687. The reversal of 75040672 is 27604057.

It is a super-3 number, since 3×75040672³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 7 ways as a sum of consecutive naturals, for example, 116383 + ... + 117025.

It is an arithmetic number, because the mean of its divisors is an integer number (3529764).

Almost surely, 2^75040672 is an apocalyptic number.

It is an amenable number.

75040672 is an abundant number, since it is smaller than the sum of its proper divisors (94388000).

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

75040672 is a wasteful number, since it uses less digits than its factorization.

75040672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 31.

The square root of 75040672 is about 8662.6019185924. The cubic root of 75040672 is about 421.7925501937.

The spelling of 75040672 in words is "seventy-five million, forty thousand, six hundred seventy-two".