71732628 has 72 divisors (see below), whose sum is σ = 205164960. Its totient is φ = 21733920.

The previous prime is 71732627. The next prime is 71732651. The reversal of 71732628 is 82623717.

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 = 71732592 and 71732601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71732627) 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 23 ways as a sum of consecutive naturals, for example, 7338 + ... + 14046.

Almost surely, 2^71732628 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 71732628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102582480).

71732628 is an abundant number, since it is smaller than the sum of its proper divisors (133432332).

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

71732628 is a wasteful number, since it uses less digits than its factorization.

71732628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6739 (or 6725 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 71732628 is about 8469.5116742348. The cubic root of 71732628 is about 415.5011664397.

It can be divided in two parts, 7173 and 2628, that added together give a square (9801 = 99²).

The spelling of 71732628 in words is "seventy-one million, seven hundred thirty-two thousand, six hundred twenty-eight".