72711024 has 80 divisors (see below), whose sum is σ = 201118080. Its totient is φ = 22567680.

The previous prime is 72711007. The next prime is 72711049. The reversal of 72711024 is 42011727.

It is a super-2 number, since 2×72711024² = 10573786022257152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 72710985 and 72711003.

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, 54979 + ... + 56285.

It is an arithmetic number, because the mean of its divisors is an integer number (2513976).

Almost surely, 2^72711024 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 72711024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100559040).

72711024 is an abundant number, since it is smaller than the sum of its proper divisors (128407056).

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

72711024 is a wasteful number, since it uses less digits than its factorization.

72711024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 72711024 is about 8527.0759349263. The cubic root of 72711024 is about 417.3817160463.

The spelling of 72711024 in words is "seventy-two million, seven hundred eleven thousand, twenty-four".