2151072 has 144 divisors (see below), whose sum is σ = 7705152. Its totient is φ = 552960.

The previous prime is 2151031. The next prime is 2151073. The reversal of 2151072 is 2701512.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2151072² = 9254221498368, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2151073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22128 + ... + 22224.

It is an arithmetic number, because the mean of its divisors is an integer number (53508).

2^2151072 is an apocalyptic number.

2151072 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 2151072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3852576).

2151072 is an abundant number, since it is smaller than the sum of its proper divisors (5554080).

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

2151072 is a wasteful number, since it uses less digits than its factorization.

2151072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 2151072 is about 1466.6533332727. The cubic root of 2151072 is about 129.0877355204.

Adding to 2151072 its reverse (2701512), we get a palindrome (4852584).

The spelling of 2151072 in words is "two million, one hundred fifty-one thousand, seventy-two".