2736072 has 64 divisors (see below), whose sum is σ = 7776000. Its totient is φ = 891072.

The previous prime is 2736067. The next prime is 2736077. The reversal of 2736072 is 2706372.

It is an interprime number because it is at equal distance from previous prime (2736067) and next prime (2736077).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2736077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11329 + ... + 11567.

It is an arithmetic number, because the mean of its divisors is an integer number (121500).

2^2736072 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 2736072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3888000).

2736072 is an abundant number, since it is smaller than the sum of its proper divisors (5039928).

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

2736072 is a wasteful number, since it uses less digits than its factorization.

2736072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 2736072 is about 1654.1076143951. The cubic root of 2736072 is about 139.8650400084.

The spelling of 2736072 in words is "two million, seven hundred thirty-six thousand, seventy-two".