75378240 has 168 divisors, whose sum is σ = 296387520. Its totient is φ = 17224704.

The previous prime is 75378239. The next prime is 75378311. The reversal of 75378240 is 4287357.

75378240 is a `hidden beast` number, since 7 + 537 + 82 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 75378195 and 75378204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18291 + ... + 22029.

Almost surely, 2^75378240 is an apocalyptic number.

75378240 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148193760).

75378240 is an abundant number, since it is smaller than the sum of its proper divisors (221009280).

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

75378240 is a wasteful number, since it uses less digits than its factorization.

75378240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3769 (or 3756 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 75378240 is about 8682.0642706674. The cubic root of 75378240 is about 422.4240774843.

The spelling of 75378240 in words is "seventy-five million, three hundred seventy-eight thousand, two hundred forty".