75582340 has 96 divisors (see below), whose sum is σ = 177666048. Its totient is φ = 26880000.

The previous prime is 75582337. The next prime is 75582341. The reversal of 75582340 is 4328557.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 75582296 and 75582305.

It is not an unprimeable number, because it can be changed into a prime (75582341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 748290 + ... + 748390.

It is an arithmetic number, because the mean of its divisors is an integer number (1850688).

Almost surely, 2^75582340 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 75582340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88833024).

75582340 is an abundant number, since it is smaller than the sum of its proper divisors (102083708).

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

75582340 is a wasteful number, since it uses less digits than its factorization.

75582340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

The square root of 75582340 is about 8693.8104419179. The cubic root of 75582340 is about 422.8049966785.

The spelling of 75582340 in words is "seventy-five million, five hundred eighty-two thousand, three hundred forty".