72405216 has 144 divisors (see below), whose sum is σ = 225375696. Its totient is φ = 21915648.

The previous prime is 72405197. The next prime is 72405233. The reversal of 72405216 is 61250427.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 72405216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310636 + ... + 310868.

It is an arithmetic number, because the mean of its divisors is an integer number (1565109).

Almost surely, 2^72405216 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 72405216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112687848).

72405216 is an abundant number, since it is smaller than the sum of its proper divisors (152970480).

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

72405216 is a wasteful number, since it uses less digits than its factorization.

72405216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 72405216 is about 8509.1254544753. The cubic root of 72405216 is about 416.7957525021.

The spelling of 72405216 in words is "seventy-two million, four hundred five thousand, two hundred sixteen".