1007091072 has 96 divisors (see below), whose sum is σ = 3120979680. Its totient is φ = 309869568.

The previous prime is 1007091037. The next prime is 1007091073. The reversal of 1007091072 is 2701907001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007091073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18648 + ... + 48599.

It is an arithmetic number, because the mean of its divisors is an integer number (32510205).

Almost surely, 2^1007091072 is an apocalyptic number.

1007091072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1007091072 is an abundant number, since it is smaller than the sum of its proper divisors (2113888608).

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

1007091072 is a wasteful number, since it uses less digits than its factorization.

1007091072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67280 (or 67265 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 1007091072 is about 31734.6982339521. The cubic root of 1007091072 is about 1002.3581255396.

Adding to 1007091072 its reverse (2701907001), we get a palindrome (3708998073).

The spelling of 1007091072 in words is "one billion, seven million, ninety-one thousand, seventy-two".