72583016 has 32 divisors (see below), whose sum is σ = 150569280. Its totient is φ = 32524800.

The previous prime is 72583001. The next prime is 72583019. The reversal of 72583016 is 61038527.

It is a happy number.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (72583019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 440 + ... + 12056.

It is an arithmetic number, because the mean of its divisors is an integer number (4705290).

Almost surely, 2^72583016 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 72583016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75284640).

72583016 is an abundant number, since it is smaller than the sum of its proper divisors (77986264).

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

72583016 is a wasteful number, since it uses less digits than its factorization.

72583016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11705 (or 11701 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 72583016 is about 8519.5666556463. The cubic root of 72583016 is about 417.1366382027.

The spelling of 72583016 in words is "seventy-two million, five hundred eighty-three thousand, sixteen".