72995616 has 72 divisors (see below), whose sum is σ = 208825344. Its totient is φ = 24186240.

The previous prime is 72995609. The next prime is 72995617. The reversal of 72995616 is 61659927.

It is a happy number.

72995616 is a `hidden beast` number, since 7 + 29 + 9 + 5 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72995617) 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 11 ways as a sum of consecutive naturals, for example, 54345 + ... + 55671.

It is an arithmetic number, because the mean of its divisors is an integer number (2900352).

Almost surely, 2^72995616 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 72995616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104412672).

72995616 is an abundant number, since it is smaller than the sum of its proper divisors (135829728).

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

72995616 is a wasteful number, since it uses less digits than its factorization.

72995616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 1523 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 72995616 is about 8543.7471872709. The cubic root of 72995616 is about 417.9255531587.

The spelling of 72995616 in words is "seventy-two million, nine hundred ninety-five thousand, six hundred sixteen".