75208640 has 112 divisors (see below), whose sum is σ = 195864480. Its totient is φ = 27340800.

The previous prime is 75208621. The next prime is 75208673. The reversal of 75208640 is 4680257.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 75208597 and 75208606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 420071 + ... + 420249.

It is an arithmetic number, because the mean of its divisors is an integer number (1748790).

Almost surely, 2^75208640 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 75208640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97932240).

75208640 is an abundant number, since it is smaller than the sum of its proper divisors (120655840).

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

75208640 is a wasteful number, since it uses less digits than its factorization.

75208640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 75208640 is about 8672.2915080156. The cubic root of 75208640 is about 422.1070234608.

Adding to 75208640 its reverse (4680257), we get a palindrome (79888897).

The spelling of 75208640 in words is "seventy-five million, two hundred eight thousand, six hundred forty".