72897216 has 112 divisors (see below), whose sum is σ = 223747584. Its totient is φ = 20514816.

The previous prime is 72897203. The next prime is 72897217. The reversal of 72897216 is 61279827.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (72897217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97741 + ... + 98483.

Almost surely, 2^72897216 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 72897216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111873792).

72897216 is an abundant number, since it is smaller than the sum of its proper divisors (150850368).

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

72897216 is a wasteful number, since it uses less digits than its factorization.

72897216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 828 counting only the distinct ones).

The product of its digits is 84672, while the sum is 42.

The square root of 72897216 is about 8537.9866479165. The cubic root of 72897216 is about 417.7376771865.

The spelling of 72897216 in words is "seventy-two million, eight hundred ninety-seven thousand, two hundred sixteen".