72016 has 20 divisors (see below), whose sum is σ = 159712. Its totient is φ = 30816.

The previous prime is 71999. The next prime is 72019. The reversal of 72016 is 61027.

72016 = T₂₉ + T₃₀ + ... + T₇₆.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72019) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 210 + ... + 433.

2⁷²⁰¹⁶ is an apocalyptic number.

It is an amenable number.

72016 is an abundant number, since it is smaller than the sum of its proper divisors (87696).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79856).

72016 is a wasteful number, since it uses less digits than its factorization.

72016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 72016 is about 268.3579698835. The cubic root of 72016 is about 41.6047578385.

The spelling of 72016 in words is "seventy-two thousand, sixteen".