49116672 has 320 divisors, whose sum is σ = 176774400. Its totient is φ = 13271040.

The previous prime is 49116659. The next prime is 49116673. The reversal of 49116672 is 27661194.

49116672 is a `hidden beast` number, since 491 + 166 + 7 + 2 = 666.

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 (49116673) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2585079 + ... + 2585097.

It is an arithmetic number, because the mean of its divisors is an integer number (552420).

Almost surely, 2^49116672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49116672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88387200).

49116672 is an abundant number, since it is smaller than the sum of its proper divisors (127657728).

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

49116672 is a wasteful number, since it uses less digits than its factorization.

49116672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 52 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 49116672 is about 7008.3287594119. The cubic root of 49116672 is about 366.2207751572.

The spelling of 49116672 in words is "forty-nine million, one hundred sixteen thousand, six hundred seventy-two".