72891616 has 96 divisors (see below), whose sum is σ = 173880000. Its totient is φ = 30030336.

The previous prime is 72891613. The next prime is 72891617. The reversal of 72891616 is 61619827.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72891613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 318190 + ... + 318418.

It is an arithmetic number, because the mean of its divisors is an integer number (1811250).

Almost surely, 2^72891616 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 72891616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86940000).

72891616 is an abundant number, since it is smaller than the sum of its proper divisors (100988384).

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

72891616 is a wasteful number, since it uses less digits than its factorization.

72891616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 267 counting only the distinct ones).

The product of its digits is 36288, while the sum is 40.

The square root of 72891616 is about 8537.6586954504. The cubic root of 72891616 is about 417.7269799747.

The spelling of 72891616 in words is "seventy-two million, eight hundred ninety-one thousand, six hundred sixteen".