49107672 has 72 divisors (see below), whose sum is σ = 137914140. Its totient is φ = 15785280.

The previous prime is 49107671. The next prime is 49107683. The reversal of 49107672 is 27670194.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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 (49107671) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 60147 + ... + 60957.

Almost surely, 2^49107672 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 49107672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68957070).

49107672 is an abundant number, since it is smaller than the sum of its proper divisors (88806468).

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

49107672 is a wasteful number, since it uses less digits than its factorization.

49107672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 49107672 is about 7007.6866368296. The cubic root of 49107672 is about 366.1984053713.

The spelling of 49107672 in words is "forty-nine million, one hundred seven thousand, six hundred seventy-two".