127972800 has 126 divisors (see below), whose sum is σ = 454896728. Its totient is φ = 34122240.

The previous prime is 127972783. The next prime is 127972813. The reversal of 127972800 is 8279721.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9957 + ... + 18843.

Almost surely, 2^127972800 is an apocalyptic number.

127972800 is a gapful number since it is divisible by the number (10) 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 127972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227448364).

127972800 is an abundant number, since it is smaller than the sum of its proper divisors (326923928).

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

127972800 is a wasteful number, since it uses less digits than its factorization.

127972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8915 (or 8897 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 127972800 is about 11312.5063535894. The cubic root of 127972800 is about 503.9327196660.

The spelling of 127972800 in words is "one hundred twenty-seven million, nine hundred seventy-two thousand, eight hundred".