72049104 has 30 divisors (see below), whose sum is σ = 201637826. Its totient is φ = 24016320.

The previous prime is 72049091. The next prime is 72049127. The reversal of 72049104 is 40194027.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 60840000 + 11209104 = 7800^2 + 3348^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 250027 + ... + 250314.

Almost surely, 2^72049104 is an apocalyptic number.

It is an amenable number.

72049104 is an abundant number, since it is smaller than the sum of its proper divisors (129588722).

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

72049104 is a wasteful number, since it uses less digits than its factorization.

72049104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500355 (or 500346 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 72049104 is about 8488.1743620168. The cubic root of 72049104 is about 416.1113175964. Note that the first 3 decimals are identical.

The spelling of 72049104 in words is "seventy-two million, forty-nine thousand, one hundred four".