72316048 has 80 divisors (see below), whose sum is σ = 169989120. Its totient is φ = 29132928.

The previous prime is 72316037. The next prime is 72316051. The reversal of 72316048 is 84061327.

It is a super-3 number, since 3×72316048³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 172383 + ... + 172801.

It is an arithmetic number, because the mean of its divisors is an integer number (2124864).

Almost surely, 2^72316048 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 72316048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84994560).

72316048 is an abundant number, since it is smaller than the sum of its proper divisors (97673072).

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

72316048 is a wasteful number, since it uses less digits than its factorization.

72316048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 72316048 is about 8503.8842889588. The cubic root of 72316048 is about 416.6245856880.

The spelling of 72316048 in words is "seventy-two million, three hundred sixteen thousand, forty-eight".