72406368 has 72 divisors (see below), whose sum is σ = 208864656. Its totient is φ = 23788800.

The previous prime is 72406363. The next prime is 72406379. The reversal of 72406368 is 86360427.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72406363) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18678 + ... + 22218.

It is an arithmetic number, because the mean of its divisors is an integer number (2900898).

Almost surely, 2^72406368 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 72406368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104432328).

72406368 is an abundant number, since it is smaller than the sum of its proper divisors (136458288).

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

72406368 is a wasteful number, since it uses less digits than its factorization.

72406368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3628 (or 3617 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 72406368 is about 8509.1931462390. The cubic root of 72406368 is about 416.7979629605.

The spelling of 72406368 in words is "seventy-two million, four hundred six thousand, three hundred sixty-eight".