1072912714225 has 81 divisors (see below), whose sum is σ = 1505903226051. Its totient is φ = 757719388800.

The previous prime is 1072912714187. The next prime is 1072912714231. The reversal of 1072912714225 is 5224172192701.

It is a happy number.

The square root of 1072912714225 is 1035815.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 19079068129 + 1053833646096 = 138127^2 + 1026564^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1072912714225 is a prime.

It is a super-2 number, since 2×1072912714225² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2107883271 + ... + 2107883779.

Almost surely, 2^{1072912714225} is an apocalyptic number.

1072912714225 is the 1035815-th square number.

1072912714225 is the 517908-th centered octagonal number.

It is an amenable number.

1072912714225 is a deficient number, since it is larger than the sum of its proper divisors (432990511826).

1072912714225 is an frugal number, since it uses more digits than its factorization.

1072912714225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 43.

The spelling of 1072912714225 in words is "one trillion, seventy-two billion, nine hundred twelve million, seven hundred fourteen thousand, two hundred twenty-five".