71680752 has 180 divisors, whose sum is σ = 239739864. Its totient is φ = 19710720.

The previous prime is 71680733. The next prime is 71680793. The reversal of 71680752 is 25708617.

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

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1214899 + ... + 1214957.

Almost surely, 2^71680752 is an apocalyptic number.

71680752 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 71680752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119869932).

71680752 is an abundant number, since it is smaller than the sum of its proper divisors (168059112).

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

71680752 is a wasteful number, since it uses less digits than its factorization.

71680752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 71680752 is about 8466.4486061158. The cubic root of 71680752 is about 415.4009808050.

The spelling of 71680752 in words is "seventy-one million, six hundred eighty thousand, seven hundred fifty-two".