72049408 has 36 divisors (see below), whose sum is σ = 144371808. Its totient is φ = 35886080.

The previous prime is 72049391. The next prime is 72049421. The reversal of 72049408 is 80494027.

It is a happy number.

It is a super-2 number, since 2×72049408² = 10382234386300928, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 110010 + ... + 110662.

It is an arithmetic number, because the mean of its divisors is an integer number (4010328).

Almost surely, 2^72049408 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 72049408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72185904).

72049408 is an abundant number, since it is smaller than the sum of its proper divisors (72322400).

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

72049408 is an equidigital number, since it uses as much as digits as its factorization.

72049408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 72049408 is about 8488.1922692644. The cubic root of 72049408 is about 416.1119028346. Note that the first 3 decimals are identical.

The spelling of 72049408 in words is "seventy-two million, forty-nine thousand, four hundred eight".