1377495072 has 102 divisors (see below), whose sum is σ = 4067915103. Its totient is φ = 459165024.

The previous prime is 1377495061. The next prime is 1377495103. The reversal of 1377495072 is 2705947731.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1377495072 is a `hidden beast` number, since 137 + 7 + 4 + 9 + 507 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 688747536 + 688747536 = 26244^2 + 26244^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=26244.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 16 ways as a sum of consecutive naturals, for example, 459165023 + 459165024 + 459165025.

Almost surely, 2^1377495072 is an apocalyptic number.

1377495072 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 1377495072

1377495072 is an abundant number, since it is smaller than the sum of its proper divisors (2690420031).

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

1377495072 is an frugal number, since it uses more digits than its factorization.

1377495072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The square root of 1377495072 is about 37114.6207309195. The cubic root of 1377495072 is about 1112.6622437618.

The spelling of 1377495072 in words is "one billion, three hundred seventy-seven million, four hundred ninety-five thousand, seventy-two".