2997072 has 60 divisors (see below), whose sum is σ = 9038484. Its totient is φ = 921600.

The previous prime is 2997067. The next prime is 2997077. The reversal of 2997072 is 2707992.

It is an interprime number because it is at equal distance from previous prime (2997067) and next prime (2997077).

It can be written as a sum of positive squares in 2 ways, for example, as 2005056 + 992016 = 1416^2 + 996^2 .

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

It is an Ulam number.

It is a d-powerful number, because it can be written as 2⁹ + 9 + 9⁵ + 7⁵ + 0 + 7⁷ + 2²¹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2997077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1072 + ... + 2672.

2^2997072 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 2997072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4519242).

2997072 is an abundant number, since it is smaller than the sum of its proper divisors (6041412).

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

2997072 is a wasteful number, since it uses less digits than its factorization.

2997072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 2997072 is about 1731.2053604353. The cubic root of 2997072 is about 144.1780205714.

The spelling of 2997072 in words is "two million, nine hundred ninety-seven thousand, seventy-two".