1015378672 has 160 divisors (see below), whose sum is σ = 2546265600. Its totient is φ = 380851200.

The previous prime is 1015378643. The next prime is 1015378699. The reversal of 1015378672 is 2768735101.

1015378672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4433854 + ... + 4434082.

It is an arithmetic number, because the mean of its divisors is an integer number (15914160).

Almost surely, 2^1015378672 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 1015378672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273132800).

1015378672 is an abundant number, since it is smaller than the sum of its proper divisors (1530886928).

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

1015378672 is a wasteful number, since it uses less digits than its factorization.

1015378672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 40.

The square root of 1015378672 is about 31865.0070139644. The cubic root of 1015378672 is about 1005.1001680643.

The spelling of 1015378672 in words is "one billion, fifteen million, three hundred seventy-eight thousand, six hundred seventy-two".