1000150272 has 432 divisors, whose sum is σ = 3469240320. Its totient is φ = 273715200.

The previous prime is 1000150267. The next prime is 1000150309. The reversal of 1000150272 is 2720510001.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14927583 + ... + 14927649.

Almost surely, 2^1000150272 is an apocalyptic number.

1000150272 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 1000150272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734620160).

1000150272 is an abundant number, since it is smaller than the sum of its proper divisors (2469090048).

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

1000150272 is a wasteful number, since it uses less digits than its factorization.

1000150272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 1000150272 is about 31625.1525213713. The cubic root of 1000150272 is about 1000.0500881578.

Adding to 1000150272 its reverse (2720510001), we get a palindrome (3720660273).

The spelling of 1000150272 in words is "one billion, one hundred fifty thousand, two hundred seventy-two".