1000029072 has 40 divisors (see below), whose sum is σ = 2952467776. Its totient is φ = 285722496.

The previous prime is 1000029067. The next prime is 1000029077. The reversal of 1000029072 is 2709200001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1000029067) and next prime (1000029077).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (1000029077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1487803 + ... + 1488474.

Almost surely, 2^1000029072 is an apocalyptic number.

1000029072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1000029072 is an abundant number, since it is smaller than the sum of its proper divisors (1952438704).

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

1000029072 is a wasteful number, since it uses less digits than its factorization.

1000029072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2976295 (or 2976289 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 1000029072 is about 31623.2362670237. The cubic root of 1000029072 is about 1000.0096905728.

Adding to 1000029072 its reverse (2709200001), we get a palindrome (3709229073).

The spelling of 1000029072 in words is "one billion, twenty-nine thousand, seventy-two".