2785972 has 48 divisors (see below), whose sum is σ = 5967360. Its totient is φ = 1112832.

The previous prime is 2785963. The next prime is 2785973. The reversal of 2785972 is 2795872.

It is a d-powerful number, because it can be written as 2⁹ + 7 + 8³ + 5⁹ + 9² + 7⁷ + 2¹³ .

Its product of digits (70560) is a multiple of the sum of its prime factors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2785973) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38128 + ... + 38200.

It is an arithmetic number, because the mean of its divisors is an integer number (124320).

2^2785972 is an apocalyptic number.

2785972 is the 1363-rd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2785972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2983680).

2785972 is an abundant number, since it is smaller than the sum of its proper divisors (3181388).

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

2785972 is a wasteful number, since it uses less digits than its factorization.

2785972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 158 counting only the distinct ones).

The product of its digits is 70560, while the sum is 40.

The square root of 2785972 is about 1669.1231230799. The cubic root of 2785972 is about 140.7102006817.

The spelling of 2785972 in words is "two million, seven hundred eighty-five thousand, nine hundred seventy-two".