71883072 has 112 divisors (see below), whose sum is σ = 223845120. Its totient is φ = 22542336.

The previous prime is 71883059. The next prime is 71883101. The reversal of 71883072 is 27038817.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28153 + ... + 30599.

Almost surely, 2^71883072 is an apocalyptic number.

71883072 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 71883072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111922560).

71883072 is an abundant number, since it is smaller than the sum of its proper divisors (151962048).

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

71883072 is a wasteful number, since it uses less digits than its factorization.

71883072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2485 (or 2469 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 71883072 is about 8478.3885261292. The cubic root of 71883072 is about 415.7914388481.

The spelling of 71883072 in words is "seventy-one million, eight hundred eighty-three thousand, seventy-two".