75482240 has 64 divisors (see below), whose sum is σ = 183600000. Its totient is φ = 29666304.

The previous prime is 75482213. The next prime is 75482291. The reversal of 75482240 is 4228457.

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

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 = 75482197 and 75482206.

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, 36761 + ... + 38759.

It is an arithmetic number, because the mean of its divisors is an integer number (2868750).

Almost surely, 2^75482240 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 75482240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91800000).

75482240 is an abundant number, since it is smaller than the sum of its proper divisors (108117760).

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

75482240 is a wasteful number, since it uses less digits than its factorization.

75482240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2077 (or 2065 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 32.

The square root of 75482240 is about 8688.0515652245. The cubic root of 75482240 is about 422.6182622385.

The spelling of 75482240 in words is "seventy-five million, four hundred eighty-two thousand, two hundred forty".