71785152 has 84 divisors (see below), whose sum is σ = 217892376. Its totient is φ = 22517760.

The previous prime is 71785151. The next prime is 71785157. The reversal of 71785152 is 25158717.

71785152 is a `hidden beast` number, since 71 + 78 + 515 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (71785151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6127 + ... + 13457.

Almost surely, 2^71785152 is an apocalyptic number.

71785152 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 71785152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108946188).

71785152 is an abundant number, since it is smaller than the sum of its proper divisors (146107224).

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

71785152 is a wasteful number, since it uses less digits than its factorization.

71785152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7366 (or 7353 counting only the distinct ones).

The product of its digits is 19600, while the sum is 36.

The square root of 71785152 is about 8472.6118759211. The cubic root of 71785152 is about 415.6025543271.

The spelling of 71785152 in words is "seventy-one million, seven hundred eighty-five thousand, one hundred fifty-two".