1507172672 has 56 divisors (see below), whose sum is σ = 3179917440. Its totient is φ = 706304000.

The previous prime is 1507172671. The next prime is 1507172687. The reversal of 1507172672 is 2762717051.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1507172671) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 270329 + ... + 275847.

It is an arithmetic number, because the mean of its divisors is an integer number (56784240).

Almost surely, 2^1507172672 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 1507172672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589958720).

1507172672 is an abundant number, since it is smaller than the sum of its proper divisors (1672744768).

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

1507172672 is a wasteful number, since it uses less digits than its factorization.

1507172672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5799 (or 5789 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 38.

The square root of 1507172672 is about 38822.3218264956. The cubic root of 1507172672 is about 1146.5359330552.

The spelling of 1507172672 in words is "one billion, five hundred seven million, one hundred seventy-two thousand, six hundred seventy-two".