296772672 has 224 divisors, whose sum is σ = 983162880. Its totient is φ = 77045760.

The previous prime is 296772661. The next prime is 296772701. The reversal of 296772672 is 276277692.

296772672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 708079 + ... + 708497.

It is an arithmetic number, because the mean of its divisors is an integer number (4389120).

Almost surely, 2^296772672 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 296772672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491581440).

296772672 is an abundant number, since it is smaller than the sum of its proper divisors (686390208).

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

296772672 is a wasteful number, since it uses less digits than its factorization.

296772672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 479 counting only the distinct ones).

The product of its digits is 889056, while the sum is 48.

The square root of 296772672 is about 17227.0912228385. The cubic root of 296772672 is about 667.0237571399.

The spelling of 296772672 in words is "two hundred ninety-six million, seven hundred seventy-two thousand, six hundred seventy-two".