2700072 has 24 divisors (see below), whose sum is σ = 7312890. Its totient is φ = 900000.

The previous prime is 2700067. The next prime is 2700079.

2700072 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 2414916 + 285156 = 1554^2 + 534^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2700079) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18679 + ... + 18822.

2^2700072 is an apocalyptic number.

It is an amenable number.

2700072 is an abundant number, since it is smaller than the sum of its proper divisors (4612818).

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

2700072 is a wasteful number, since it uses less digits than its factorization.

2700072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37513 (or 37506 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 18.

The square root of 2700072 is about 1643.1895812717. The cubic root of 2700072 is about 139.2489027544.

It can be divided in two parts, 27000 and 72, that added together give a palindrome (27072).

The spelling of 2700072 in words is "two million, seven hundred thousand, seventy-two".