72711040 has 128 divisors (see below), whose sum is σ = 189695520. Its totient is φ = 26542080.

The previous prime is 72711007. The next prime is 72711049. The reversal of 72711040 is 4011727.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72711049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 445999 + ... + 446161.

Almost surely, 2^72711040 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 72711040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94847760).

72711040 is an abundant number, since it is smaller than the sum of its proper divisors (116984480).

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

72711040 is a wasteful number, since it uses less digits than its factorization.

72711040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 22.

The square root of 72711040 is about 8527.0768731143. The cubic root of 72711040 is about 417.3817466612.

Adding to 72711040 its reverse (4011727), we get a palindrome (76722767).

The spelling of 72711040 in words is "seventy-two million, seven hundred eleven thousand, forty".