72081408 has 112 divisors (see below), whose sum is σ = 220187520. Its totient is φ = 20545536.

The previous prime is 72081407. The next prime is 72081419. The reversal of 72081408 is 80418027.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72081407) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171823 + ... + 172241.

It is an arithmetic number, because the mean of its divisors is an integer number (1965960).

Almost surely, 2^72081408 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 72081408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110093760).

72081408 is an abundant number, since it is smaller than the sum of its proper divisors (148106112).

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

72081408 is an equidigital number, since it uses as much as digits as its factorization.

72081408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 72081408 is about 8490.0770314527. The cubic root of 72081408 is about 416.1734976504.

It can be divided in two parts, 720 and 81408, that added together give a palindrome (82128).

The spelling of 72081408 in words is "seventy-two million, eighty-one thousand, four hundred eight".