75438540 has 60 divisors (see below), whose sum is σ = 236658576. Its totient is φ = 20116512.

The previous prime is 75438533. The next prime is 75438547. The reversal of 75438540 is 4583457.

75438540 is a `hidden beast` number, since 75 + 43 + 8 + 540 = 666.

It is an interprime number because it is at equal distance from previous prime (75438533) and next prime (75438547).

It is a tau number, because it is divible by the number of its divisors (60).

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 = 75438495 and 75438504.

It is not an unprimeable number, because it can be changed into a prime (75438547) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21664 + ... + 24903.

Almost surely, 2^75438540 is an apocalyptic number.

It is an amenable number.

75438540 is an abundant number, since it is smaller than the sum of its proper divisors (161220036).

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

75438540 is a wasteful number, since it uses less digits than its factorization.

75438540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46588 (or 46577 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 75438540 is about 8685.5362528747. The cubic root of 75438540 is about 422.5366890399.

The spelling of 75438540 in words is "seventy-five million, four hundred thirty-eight thousand, five hundred forty".