127045632 has 156 divisors (see below), whose sum is σ = 395920176. Its totient is φ = 36126720.

The previous prime is 127045627. The next prime is 127045643. The reversal of 127045632 is 236540721.

It is a super-2 number, since 2×127045632² = 32281185220558848, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 127045632.

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, 602007 + ... + 602217.

Almost surely, 2^127045632 is an apocalyptic number.

127045632 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 127045632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197960088).

127045632 is an abundant number, since it is smaller than the sum of its proper divisors (268874544).

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

127045632 is an equidigital number, since it uses as much as digits as its factorization.

127045632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 127045632 is about 11271.4520803666. The cubic root of 127045632 is about 502.7127645325.

It can be divided in two parts, 12704 and 5632, that added together give a triangular number (18336 = T₁₉₁).

The spelling of 127045632 in words is "one hundred twenty-seven million, forty-five thousand, six hundred thirty-two".