71072736 has 144 divisors (see below), whose sum is σ = 224940240. Its totient is φ = 19568640.

The previous prime is 71072713. The next prime is 71072777. The reversal of 71072736 is 63727017.

It is a junction number, because it is equal to n+sod(n) for n = 71072697 and 71072706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136156 + ... + 136676.

It is an arithmetic number, because the mean of its divisors is an integer number (1562085).

Almost surely, 2^71072736 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 71072736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112470120).

71072736 is an abundant number, since it is smaller than the sum of its proper divisors (153867504).

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

71072736 is a wasteful number, since it uses less digits than its factorization.

71072736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 33.

The square root of 71072736 is about 8430.4647558720. The cubic root of 71072736 is about 414.2231288052.

The spelling of 71072736 in words is "seventy-one million, seventy-two thousand, seven hundred thirty-six".