1072348585 has 72 divisors (see below), whose sum is σ = 1675158408. Its totient is φ = 656409600.

The previous prime is 1072348579. The next prime is 1072348591. The reversal of 1072348585 is 5858432701.

It is an interprime number because it is at equal distance from previous prime (1072348579) and next prime (1072348591).

It can be written as a sum of positive squares in 4 ways, for example, as 6456681 + 1065891904 = 2541^2 + 32648^2 .

It is not a de Polignac number, because 1072348585 - 2¹¹ = 1072346537 is a prime.

It is a super-2 number, since 2×1072348585² = 2299862975503004450, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1808049 + ... + 1808641.

It is an arithmetic number, because the mean of its divisors is an integer number (23266089).

Almost surely, 2^1072348585 is an apocalyptic number.

It is an amenable number.

1072348585 is a deficient number, since it is larger than the sum of its proper divisors (602809823).

1072348585 is a wasteful number, since it uses less digits than its factorization.

1072348585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 43.

The square root of 1072348585 is about 32746.7339592821. The cubic root of 1072348585 is about 1023.5569095497.

The spelling of 1072348585 in words is "one billion, seventy-two million, three hundred forty-eight thousand, five hundred eighty-five".