1206513072 has 120 divisors (see below), whose sum is σ = 3576222000. Its totient is φ = 378653184.

The previous prime is 1206513031. The next prime is 1206513089. The reversal of 1206513072 is 2703156021.

It is a happy number.

1206513072 is a `hidden beast` number, since 1 + 2 + 0 + 651 + 3 + 0 + 7 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 472054 + ... + 474602.

It is an arithmetic number, because the mean of its divisors is an integer number (29801850).

Almost surely, 2^1206513072 is an apocalyptic number.

1206513072 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 1206513072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788111000).

1206513072 is an abundant number, since it is smaller than the sum of its proper divisors (2369708928).

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

1206513072 is a wasteful number, since it uses less digits than its factorization.

1206513072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2755 (or 2746 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 1206513072 is about 34734.8970345386. The cubic root of 1206513072 is about 1064.5776490997.

Adding to 1206513072 its reverse (2703156021), we get a palindrome (3909669093).

The spelling of 1206513072 in words is "one billion, two hundred six million, five hundred thirteen thousand, seventy-two".