72049812 has 48 divisors (see below), whose sum is σ = 170943360. Its totient is φ = 23617152.

The previous prime is 72049793. The next prime is 72049837. The reversal of 72049812 is 21894027.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 314514 + ... + 314742.

It is an arithmetic number, because the mean of its divisors is an integer number (3561320).

Almost surely, 2^72049812 is an apocalyptic number.

It is an amenable number.

72049812 is an abundant number, since it is smaller than the sum of its proper divisors (98893548).

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

72049812 is a wasteful number, since it uses less digits than its factorization.

72049812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 72049812 is about 8488.2160669955. The cubic root of 72049812 is about 416.1126805828.

The spelling of 72049812 in words is "seventy-two million, forty-nine thousand, eight hundred twelve".