49672 has 16 divisors (see below), whose sum is σ = 106560. Its totient is φ = 21264.

The previous prime is 49669. The next prime is 49681. The reversal of 49672 is 27694.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 49672.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 388 + ... + 499.

It is an arithmetic number, because the mean of its divisors is an integer number (6660).

2⁴⁹⁶⁷² is an apocalyptic number.

It is an amenable number.

49672 is an abundant number, since it is smaller than the sum of its proper divisors (56888).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53280).

49672 is a wasteful number, since it uses less digits than its factorization.

49672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 896 counting only the distinct ones).

The product of its digits is 3024, while the sum is 28.

The square root of 49672 is about 222.8721606662. The cubic root of 49672 is about 36.7595807005.

The spelling of 49672 in words is "forty-nine thousand, six hundred seventy-two".