272776416 has 96 divisors (see below), whose sum is σ = 789481728. Its totient is φ = 81776640.

The previous prime is 272776393. The next prime is 272776433. The reversal of 272776416 is 614677272.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101101 + ... + 103763.

It is an arithmetic number, because the mean of its divisors is an integer number (8223768).

Almost surely, 2^272776416 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 272776416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394740864).

272776416 is an abundant number, since it is smaller than the sum of its proper divisors (516705312).

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

272776416 is a wasteful number, since it uses less digits than its factorization.

272776416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2784 (or 2776 counting only the distinct ones).

The product of its digits is 197568, while the sum is 42.

The square root of 272776416 is about 16515.9442963459. The cubic root of 272776416 is about 648.5382663717.

The spelling of 272776416 in words is "two hundred seventy-two million, seven hundred seventy-six thousand, four hundred sixteen".