71829072 has 80 divisors (see below), whose sum is σ = 235639680. Its totient is φ = 20521728.

The previous prime is 71829059. The next prime is 71829083. The reversal of 71829072 is 27092817.

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 (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8853 + ... + 14900.

It is an arithmetic number, because the mean of its divisors is an integer number (2945496).

Almost surely, 2^71829072 is an apocalyptic number.

71829072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

71829072 is an abundant number, since it is smaller than the sum of its proper divisors (163810608).

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

71829072 is a wasteful number, since it uses less digits than its factorization.

71829072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23777 (or 23765 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 71829072 is about 8475.2033603920. The cubic root of 71829072 is about 415.6872958200.

The spelling of 71829072 in words is "seventy-one million, eight hundred twenty-nine thousand, seventy-two".