72316000 has 96 divisors (see below), whose sum is σ = 180442080. Its totient is φ = 28480000.

The previous prime is 72315983. The next prime is 72316037. The reversal of 72316000 is 61327.

72316000 = 30³ + 31³ + ... + 130³.

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, 403911 + ... + 404089.

It is an arithmetic number, because the mean of its divisors is an integer number (1879605).

Almost surely, 2^72316000 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 72316000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90221040).

72316000 is an abundant number, since it is smaller than the sum of its proper divisors (108126080).

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

72316000 is a wasteful number, since it uses less digits than its factorization.

72316000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 72316000 is about 8503.8814667186. The cubic root of 72316000 is about 416.6244935093.

Adding to 72316000 its reverse (61327), we get a palindrome (72377327).

It can be divided in two parts, 7231 and 6000, that added together give a palindrome (13231).

The spelling of 72316000 in words is "seventy-two million, three hundred sixteen thousand".