127672416 has 48 divisors (see below), whose sum is σ = 372380400. Its totient is φ = 42557184.

The previous prime is 127672411. The next prime is 127672417. The reversal of 127672416 is 614276721.

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

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 (127672411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73021 + ... + 74748.

It is an arithmetic number, because the mean of its divisors is an integer number (7757925).

Almost surely, 2^127672416 is an apocalyptic number.

127672416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

127672416 is an abundant number, since it is smaller than the sum of its proper divisors (244707984).

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

127672416 is a wasteful number, since it uses less digits than its factorization.

127672416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147788 (or 147774 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 127672416 is about 11299.2219201147. The cubic root of 127672416 is about 503.5381256124.

The spelling of 127672416 in words is "one hundred twenty-seven million, six hundred seventy-two thousand, four hundred sixteen".