1072315728 has 60 divisors (see below), whose sum is σ = 3273817248. Its totient is φ = 324943680.

The previous prime is 1072315703. The next prime is 1072315733. The reversal of 1072315728 is 8275132701.

1072315728 is a `hidden beast` number, since 10 + 72 + 3 + 1 + 572 + 8 = 666.

It is a super-2 number, since 2×1072315728² = 2299722041032339968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1072315692 and 1072315701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 336900 + ... + 340067.

Almost surely, 2^1072315728 is an apocalyptic number.

1072315728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1072315728 is an abundant number, since it is smaller than the sum of its proper divisors (2201501520).

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

1072315728 is a wasteful number, since it uses less digits than its factorization.

1072315728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676992 (or 676983 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 1072315728 is about 32746.2322718202. The cubic root of 1072315728 is about 1023.5464554388.

The spelling of 1072315728 in words is "one billion, seventy-two million, three hundred fifteen thousand, seven hundred twenty-eight".