75732480 has 240 divisors, whose sum is σ = 277683120. Its totient is φ = 19021824.

The previous prime is 75732457. The next prime is 75732493. The reversal of 75732480 is 8423757.

75732480 is a `hidden beast` number, since 7 + 573 + 2 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

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, 437674 + ... + 437846.

It is an arithmetic number, because the mean of its divisors is an integer number (1157013).

Almost surely, 2^75732480 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 75732480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138841560).

75732480 is an abundant number, since it is smaller than the sum of its proper divisors (201950640).

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

75732480 is a wasteful number, since it uses less digits than its factorization.

75732480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 202 counting only the distinct ones).

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

The square root of 75732480 is about 8702.4410368586. The cubic root of 75732480 is about 423.0847708313.

The spelling of 75732480 in words is "seventy-five million, seven hundred thirty-two thousand, four hundred eighty".