1372107676900 has 81 divisors (see below), whose sum is σ = 3052934799537. Its totient is φ = 535269235200.

The previous prime is 1372107676871. The next prime is 1372107676921. The reversal of 1372107676900 is 96767012731.

The square root of 1372107676900 is 1171370.

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 1283584766116 + 88522910784 = 1132954^2 + 297528^2 .

It is a super-2 number, since 2×1372107676900² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 480260272 + ... + 480263128.

Almost surely, 2^{1372107676900} is an apocalyptic number.

1372107676900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1372107676900 is the 1171370-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1372107676900

1372107676900 is an abundant number, since it is smaller than the sum of its proper divisors (1680827122637).

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

1372107676900 is an frugal number, since it uses more digits than its factorization.

1372107676900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5810 (or 2905 counting only the distinct ones).

The product of its (nonzero) digits is 666792, while the sum is 49.

Multiplying 1372107676900 by its sum of digits (49), we get a square (67233276168100 = 8199590²).

The spelling of 1372107676900 in words is "one trillion, three hundred seventy-two billion, one hundred seven million, six hundred seventy-six thousand, nine hundred".