75579540 has 24 divisors (see below), whose sum is σ = 211622880. Its totient is φ = 20154528.

The previous prime is 75579529. The next prime is 75579563. The reversal of 75579540 is 4597557.

It is a super-2 number, since 2×75579540² = 11424533733223200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 75579492 and 75579501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 629770 + ... + 629889.

It is an arithmetic number, because the mean of its divisors is an integer number (8817620).

Almost surely, 2^75579540 is an apocalyptic number.

It is an amenable number.

75579540 is an abundant number, since it is smaller than the sum of its proper divisors (136043340).

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

75579540 is a wasteful number, since it uses less digits than its factorization.

75579540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259671 (or 1259669 counting only the distinct ones).

The product of its (nonzero) digits is 220500, while the sum is 42.

The square root of 75579540 is about 8693.6494063195. The cubic root of 75579540 is about 422.7997755796.

It can be divided in two parts, 755795 and 40, that added together give a triangular number (755835 = T₁₂₂₉).

The spelling of 75579540 in words is "seventy-five million, five hundred seventy-nine thousand, five hundred forty".