1577115972 has 72 divisors (see below), whose sum is σ = 4127026176. Its totient is φ = 507415104.

The previous prime is 1577115949. The next prime is 1577115977. The reversal of 1577115972 is 2795117751.

1577115972 is a `hidden beast` number, since 1 + 57 + 7 + 1 + 1 + 597 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (1577115977) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 164503 + ... + 173825.

It is an arithmetic number, because the mean of its divisors is an integer number (57319808).

Almost surely, 2^1577115972 is an apocalyptic number.

1577115972 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 1577115972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2063513088).

1577115972 is an abundant number, since it is smaller than the sum of its proper divisors (2549910204).

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

1577115972 is a wasteful number, since it uses less digits than its factorization.

1577115972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9497 (or 9492 counting only the distinct ones).

The product of its digits is 154350, while the sum is 45.

The square root of 1577115972 is about 39712.9194595411. The cubic root of 1577115972 is about 1164.0041892363.

The spelling of 1577115972 in words is "one billion, five hundred seventy-seven million, one hundred fifteen thousand, nine hundred seventy-two".