72961216 has 56 divisors (see below), whose sum is σ = 157734000. Its totient is φ = 33352704.

The previous prime is 72961211. The next prime is 72961223. The reversal of 72961216 is 61216927.

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 (72961211) 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, 34230 + ... + 36298.

Almost surely, 2^72961216 is an apocalyptic number.

72961216 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72961216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78867000).

72961216 is an abundant number, since it is smaller than the sum of its proper divisors (84772784).

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

72961216 is a wasteful number, since it uses less digits than its factorization.

72961216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2129 (or 2119 counting only the distinct ones).

The product of its digits is 9072, while the sum is 34.

The square root of 72961216 is about 8541.7337818501. The cubic root of 72961216 is about 417.8598921470.

The spelling of 72961216 in words is "seventy-two million, nine hundred sixty-one thousand, two hundred sixteen".