72090816 has 56 divisors (see below), whose sum is σ = 217992960. Its totient is φ = 20596992.

The previous prime is 72090797. The next prime is 72090827. The reversal of 72090816 is 61809027.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25476 + ... + 28163.

Almost surely, 2^72090816 is an apocalyptic number.

It is an amenable number.

72090816 is an abundant number, since it is smaller than the sum of its proper divisors (145902144).

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

72090816 is a wasteful number, since it uses less digits than its factorization.

72090816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53661 (or 53651 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 72090816 is about 8490.6310719522. The cubic root of 72090816 is about 416.1916030586.

The spelling of 72090816 in words is "seventy-two million, ninety thousand, eight hundred sixteen".