2883672 has 72 divisors (see below), whose sum is σ = 8610420. Its totient is φ = 871200.

The previous prime is 2883667. The next prime is 2883697. The reversal of 2883672 is 2763882.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a d-powerful number, because it can be written as 2¹⁸ + 8⁶ + 8⁶ + 3 + 6² + 7² + 2²¹ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8547 + ... + 8877.

2^2883672 is an apocalyptic number.

2883672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2883672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4305210).

2883672 is an abundant number, since it is smaller than the sum of its proper divisors (5726748).

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

2883672 is a wasteful number, since it uses less digits than its factorization.

2883672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 347 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 2883672 is about 1698.1378035955. The cubic root of 2883672 is about 142.3361736854.

It can be divided in two parts, 288367 and 2, that added together give a square (288369 = 537²).

The spelling of 2883672 in words is "two million, eight hundred eighty-three thousand, six hundred seventy-two".