1007149072 has 20 divisors (see below), whose sum is σ = 1951849900. Its totient is φ = 503445888.

The previous prime is 1007149067. The next prime is 1007149079. The reversal of 1007149072 is 2709417001.

It can be written as a sum of positive squares in 2 ways, for example, as 957531136 + 49617936 = 30944^2 + 7044^2 .

It is a super-2 number, since 2×1007149072² = 2028698506460922368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1007149079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 103054 + ... + 112402.

It is an arithmetic number, because the mean of its divisors is an integer number (97592495).

Almost surely, 2^1007149072 is an apocalyptic number.

It is an amenable number.

1007149072 is a deficient number, since it is larger than the sum of its proper divisors (944700828).

1007149072 is an equidigital number, since it uses as much as digits as its factorization.

1007149072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16090 (or 16084 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 31.

The square root of 1007149072 is about 31735.6120470364. The cubic root of 1007149072 is about 1002.3773676442.

The spelling of 1007149072 in words is "one billion, seven million, one hundred forty-nine thousand, seventy-two".