2547072 has 128 divisors (see below), whose sum is σ = 8323200. Its totient is φ = 760320.

The previous prime is 2547037. The next prime is 2547073. The reversal of 2547072 is 2707452.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an alternating number because its digits alternate between even and odd.

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2547073) 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, 37983 + ... + 38049.

It is an arithmetic number, because the mean of its divisors is an integer number (65025).

2^2547072 is an apocalyptic number.

2547072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2547072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4161600).

2547072 is an abundant number, since it is smaller than the sum of its proper divisors (5776128).

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

2547072 is a wasteful number, since it uses less digits than its factorization.

2547072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 2547072 is about 1595.9548865804. The cubic root of 2547072 is about 136.5674102496.

The spelling of 2547072 in words is "two million, five hundred forty-seven thousand, seventy-two".