72635016 has 64 divisors (see below), whose sum is σ = 195955200. Its totient is φ = 22350848.

The previous prime is 72635009. The next prime is 72635021. The reversal of 72635016 is 61053627.

It is a super-3 number, since 3×72635016³ (a number of 25 digits) contains 333 as substring.

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, 19945 + ... + 23303.

It is an arithmetic number, because the mean of its divisors is an integer number (3061800).

Almost surely, 2^72635016 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 72635016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97977600).

72635016 is an abundant number, since it is smaller than the sum of its proper divisors (123320184).

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

72635016 is a wasteful number, since it uses less digits than its factorization.

72635016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3438 (or 3434 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 72635016 is about 8522.6179076619. The cubic root of 72635016 is about 417.2362295784.

The spelling of 72635016 in words is "seventy-two million, six hundred thirty-five thousand, sixteen".