4672296 has 64 divisors (see below), whose sum is σ = 13171200. Its totient is φ = 1534464.

The previous prime is 4672273. The next prime is 4672301. The reversal of 4672296 is 6922764.

4672296 = 31³ + 32³ + ... + 66³.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4672296.

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, 20841 + ... + 21063.

It is an arithmetic number, because the mean of its divisors is an integer number (205800).

Almost surely, 2^4672296 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 4672296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6585600).

4672296 is an abundant number, since it is smaller than the sum of its proper divisors (8498904).

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

4672296 is a wasteful number, since it uses less digits than its factorization.

4672296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 325 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 4672296 is about 2161.5494442645. The cubic root of 4672296 is about 167.1770982727.

The spelling of 4672296 in words is "four million, six hundred seventy-two thousand, two hundred ninety-six".