127072032 has 48 divisors (see below), whose sum is σ = 335728512. Its totient is φ = 42082560.

The previous prime is 127071983. The next prime is 127072051. The reversal of 127072032 is 230270721.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×127072032² = 32294602633218048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 127071993 and 127072011.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10857 + ... + 19287.

It is an arithmetic number, because the mean of its divisors is an integer number (6994344).

Almost surely, 2^127072032 is an apocalyptic number.

127072032 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 127072032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167864256).

127072032 is an abundant number, since it is smaller than the sum of its proper divisors (208656480).

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

127072032 is a wasteful number, since it uses less digits than its factorization.

127072032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8601 (or 8593 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 127072032 is about 11272.6231197534. The cubic root of 127072032 is about 502.7475832498.

The spelling of 127072032 in words is "one hundred twenty-seven million, seventy-two thousand, thirty-two".