1005699072 has 240 divisors, whose sum is σ = 3187573760. Its totient is φ = 276037632.

The previous prime is 1005699067. The next prime is 1005699119. The reversal of 1005699072 is 2709965001.

It is a super-2 number, since 2×1005699072² = 2022861246843322368, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1005699072.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12730329 + ... + 12730407.

Almost surely, 2^1005699072 is an apocalyptic number.

1005699072 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 1005699072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593786880).

1005699072 is an abundant number, since it is smaller than the sum of its proper divisors (2181874688).

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

1005699072 is an frugal number, since it uses more digits than its factorization.

1005699072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 39.

The square root of 1005699072 is about 31712.7588203865. The cubic root of 1005699072 is about 1001.8960932249.

The spelling of 1005699072 in words is "one billion, five million, six hundred ninety-nine thousand, seventy-two".