127452672 has 120 divisors (see below), whose sum is σ = 389713896. Its totient is φ = 39960576.

The previous prime is 127452667. The next prime is 127452707. The reversal of 127452672 is 276254721.

It is a happy number.

127452672 is a `hidden beast` number, since 127 + 4 + 526 + 7 + 2 = 666.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77523 + ... + 79149.

Almost surely, 2^127452672 is an apocalyptic number.

127452672 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 127452672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194856948).

127452672 is an abundant number, since it is smaller than the sum of its proper divisors (262261224).

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

127452672 is a wasteful number, since it uses less digits than its factorization.

127452672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668 (or 1649 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 127452672 is about 11289.4938770522. The cubic root of 127452672 is about 503.2490706812.

The spelling of 127452672 in words is "one hundred twenty-seven million, four hundred fifty-two thousand, six hundred seventy-two".