1505006272 has 112 divisors (see below), whose sum is σ = 3852184320. Its totient is φ = 566092800.

The previous prime is 1505006263. The next prime is 1505006297. The reversal of 1505006272 is 2726005051.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 1505006272.

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 15 ways as a sum of consecutive naturals, for example, 137647 + ... + 148177.

Almost surely, 2^1505006272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1505006272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1926092160).

1505006272 is an abundant number, since it is smaller than the sum of its proper divisors (2347178048).

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

1505006272 is a wasteful number, since it uses less digits than its factorization.

1505006272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10590 (or 10580 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 1505006272 is about 38794.4103190137. The cubic root of 1505006272 is about 1145.9863285905.

The spelling of 1505006272 in words is "one billion, five hundred five million, six thousand, two hundred seventy-two".