49972 has 18 divisors (see below), whose sum is σ = 97314. Its totient is φ = 22320.

The previous prime is 49957. The next prime is 49991. The reversal of 49972 is 27994.

It can be written as a sum of positive squares in only one way, i.e., 34596 + 15376 = 186^2 + 124^2 .

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a plaindrome in base 11.

It is a congruent number.

It is an unprimeable number.

49972 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1597 + ... + 1627.

2⁴⁹⁹⁷² is an apocalyptic number.

It is an amenable number.

49972 is a deficient number, since it is larger than the sum of its proper divisors (47342).

49972 is a wasteful number, since it uses less digits than its factorization.

49972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 46 counting only the distinct ones).

The product of its digits is 4536, while the sum is 31.

The square root of 49972 is about 223.5441790788. The cubic root of 49972 is about 36.8334368435.

The spelling of 49972 in words is "forty-nine thousand, nine hundred seventy-two".