72781016 has 96 divisors (see below), whose sum is σ = 179262720. Its totient is φ = 27065280.

The previous prime is 72781013. The next prime is 72781021. The reversal of 72781016 is 61018727.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72781013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155615 + ... + 156081.

It is an arithmetic number, because the mean of its divisors is an integer number (1867320).

Almost surely, 2^72781016 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 72781016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89631360).

72781016 is an abundant number, since it is smaller than the sum of its proper divisors (106481704).

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

72781016 is a wasteful number, since it uses less digits than its factorization.

72781016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 32.

The square root of 72781016 is about 8531.1790509870. The cubic root of 72781016 is about 417.5155976818.

The spelling of 72781016 in words is "seventy-two million, seven hundred eighty-one thousand, sixteen".