1107072 has 72 divisors (see below), whose sum is σ = 3291795. Its totient is φ = 357120.

The previous prime is 1107053. The next prime is 1107083. The reversal of 1107072 is 2707011.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 553536 + 553536 = 744^2 + 744^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=744.

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

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 35697 + ... + 35727.

2^1107072 is an apocalyptic number.

1107072 is a gapful number since it is divisible by the number (12) 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 1107072

1107072 is an abundant number, since it is smaller than the sum of its proper divisors (2184723).

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

1107072 is an equidigital number, since it uses as much as digits as its factorization.

1107072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 18.

The square root of 1107072 is about 1052.1748904056. The cubic root of 1107072 is about 103.4487599058.

Multiplying 1107072 by its sum of digits (18), we get a square (19927296 = 4464²).

1107072 divided by its sum of digits (18) gives a square (61504 = 248²).

Multiplying 1107072 by its product of nonzero digits (98), we get a square (108493056 = 10416²).

The spelling of 1107072 in words is "one million, one hundred seven thousand, seventy-two".