2979072 has 72 divisors (see below), whose sum is σ = 8830080. Its totient is φ = 990720.

The previous prime is 2979059. The next prime is 2979073. The reversal of 2979072 is 2709792.

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 nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2979073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6697 + ... + 7127.

It is an arithmetic number, because the mean of its divisors is an integer number (122640).

2^2979072 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 2979072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4415040).

2979072 is an abundant number, since it is smaller than the sum of its proper divisors (5851008).

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

2979072 is an equidigital number, since it uses as much as digits as its factorization.

2979072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 436 counting only the distinct ones).

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

The square root of 2979072 is about 1725.9988412511. The cubic root of 2979072 is about 143.8888030446. Note that the first 4 decimals are identical.

The spelling of 2979072 in words is "two million, nine hundred seventy-nine thousand, seventy-two".