72005016 has 64 divisors (see below), whose sum is σ = 184694400. Its totient is φ = 23385600.

The previous prime is 72004981. The next prime is 72005023. The reversal of 72005016 is 61050027.

72005016 is nontrivially palindromic in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 72004983 and 72005001.

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, 298656 + ... + 298896.

It is an arithmetic number, because the mean of its divisors is an integer number (2885850).

Almost surely, 2^72005016 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 72005016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92347200).

72005016 is an abundant number, since it is smaller than the sum of its proper divisors (112689384).

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

72005016 is a wasteful number, since it uses less digits than its factorization.

72005016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 72005016 is about 8485.5769397254. The cubic root of 72005016 is about 416.0264252198.

The spelling of 72005016 in words is "seventy-two million, five thousand, sixteen".