75578240 has 64 divisors (see below), whose sum is σ = 181764000. Its totient is φ = 30050304.

The previous prime is 75578231. The next prime is 75578267. The reversal of 75578240 is 4287557.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×75578240² = 11424140722995200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 75578194 and 75578203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171941 + ... + 172379.

Almost surely, 2^75578240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75578240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90882000).

75578240 is an abundant number, since it is smaller than the sum of its proper divisors (106185760).

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

75578240 is a wasteful number, since it uses less digits than its factorization.

75578240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 38.

The square root of 75578240 is about 8693.5746387778. The cubic root of 75578240 is about 422.7973514541.

The spelling of 75578240 in words is "seventy-five million, five hundred seventy-eight thousand, two hundred forty".