127612992 has 224 divisors, whose sum is σ = 394289280. Its totient is φ = 36126720.

The previous prime is 127612973. The next prime is 127612997. The reversal of 127612992 is 299216721.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 127612992.

It is not an unprimeable number, because it can be changed into a prime (127612997) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2967723 + ... + 2967765.

It is an arithmetic number, because the mean of its divisors is an integer number (1760220).

Almost surely, 2^127612992 is an apocalyptic number.

127612992 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 127612992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197144640).

127612992 is an abundant number, since it is smaller than the sum of its proper divisors (266676288).

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

127612992 is a wasteful number, since it uses less digits than its factorization.

127612992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 131 counting only the distinct ones).

The product of its digits is 27216, while the sum is 39.

The square root of 127612992 is about 11296.5920524732. The cubic root of 127612992 is about 503.4599910289.

It can be divided in two parts, 12761 and 2992, that added together give a triangular number (15753 = T₁₇₇).

The spelling of 127612992 in words is "one hundred twenty-seven million, six hundred twelve thousand, nine hundred ninety-two".