75573990 has 96 divisors (see below), whose sum is σ = 203164416. Its totient is φ = 19483200.

The previous prime is 75573983. The next prime is 75573997. The reversal of 75573990 is 9937557.

It is a happy number.

75573990 is a `hidden beast` number, since 7 + 557 + 3 + 9 + 90 = 666.

It is an interprime number because it is at equal distance from previous prime (75573983) and next prime (75573997).

It is a super-2 number, since 2×75573990² = 11422855929040200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75573997) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 500415 + ... + 500565.

It is an arithmetic number, because the mean of its divisors is an integer number (2116296).

Almost surely, 2^75573990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75573990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101582208).

75573990 is an abundant number, since it is smaller than the sum of its proper divisors (127590426).

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

75573990 is a wasteful number, since it uses less digits than its factorization.

75573990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 297675, while the sum is 45.

The square root of 75573990 is about 8693.3302019422. The cubic root of 75573990 is about 422.7894262346.

The spelling of 75573990 in words is "seventy-five million, five hundred seventy-three thousand, nine hundred ninety".