1506622272 has 112 divisors (see below), whose sum is σ = 4096512000. Its totient is φ = 488517120.

The previous prime is 1506622237. The next prime is 1506622321. The reversal of 1506622272 is 2722266051.

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, 1076229 + ... + 1077627.

It is an arithmetic number, because the mean of its divisors is an integer number (36576000).

Almost surely, 2^1506622272 is an apocalyptic number.

1506622272 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 1506622272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048256000).

1506622272 is an abundant number, since it is smaller than the sum of its proper divisors (2589889728).

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

1506622272 is a wasteful number, since it uses less digits than its factorization.

1506622272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 1506622272 is about 38815.2324738626. The cubic root of 1506622272 is about 1146.3963493560.

The spelling of 1506622272 in words is "one billion, five hundred six million, six hundred twenty-two thousand, two hundred seventy-two".