71073072 has 160 divisors (see below), whose sum is σ = 245619200. Its totient is φ = 19222272.

The previous prime is 71073047. The next prime is 71073169. The reversal of 71073072 is 27037017.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56838 + ... + 58074.

It is an arithmetic number, because the mean of its divisors is an integer number (1535120).

Almost surely, 2^71073072 is an apocalyptic number.

71073072 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 71073072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122809600).

71073072 is an abundant number, since it is smaller than the sum of its proper divisors (174546128).

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

71073072 is a wasteful number, since it uses less digits than its factorization.

71073072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 2058, while the sum is 27.

The square root of 71073072 is about 8430.4846835754. The cubic root of 71073072 is about 414.2237815579.

The spelling of 71073072 in words is "seventy-one million, seventy-three thousand, seventy-two".