127625472 has 108 divisors (see below), whose sum is σ = 396374524. Its totient is φ = 39260160.

The previous prime is 127625441. The next prime is 127625473. The reversal of 127625472 is 274526721.

It is a happy number.

127625472 is a `hidden beast` number, since 1 + 27 + 625 + 4 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 77158656 + 50466816 = 8784^2 + 7104^2 .

It is a super-2 number, since 2×127625472² = 32576522206445568, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127625473) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27822 + ... + 32082.

Almost surely, 2^127625472 is an apocalyptic number.

127625472 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 127625472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198187262).

127625472 is an abundant number, since it is smaller than the sum of its proper divisors (268749052).

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

127625472 is a wasteful number, since it uses less digits than its factorization.

127625472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4296 (or 4279 counting only the distinct ones).

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

The square root of 127625472 is about 11297.1444179492. The cubic root of 127625472 is about 503.4764025656.

The spelling of 127625472 in words is "one hundred twenty-seven million, six hundred twenty-five thousand, four hundred seventy-two".