75785472 has 216 divisors, whose sum is σ = 258492416. Its totient is φ = 20901888.

The previous prime is 75785467. The next prime is 75785477. The reversal of 75785472 is 27458757.

75785472 is a `hidden beast` number, since 7 + 578 + 5 + 4 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (75785467) and next prime (75785477).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75785477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 596673 + ... + 596799.

Almost surely, 2^75785472 is an apocalyptic number.

75785472 is a gapful number since it is divisible by the number (72) 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 75785472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129246208).

75785472 is an abundant number, since it is smaller than the sum of its proper divisors (182706944).

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

75785472 is a wasteful number, since it uses less digits than its factorization.

75785472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 176 counting only the distinct ones).

The product of its digits is 548800, while the sum is 45.

The square root of 75785472 is about 8705.4851674103. The cubic root of 75785472 is about 423.1834289892.

The spelling of 75785472 in words is "seventy-five million, seven hundred eighty-five thousand, four hundred seventy-two".