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BaseRepresentation
bin11000011010000100
312002010200
4120122010
511144342
62050500
7564315
oct303204
9162120
1099972
1169124
1249a30
1336672
142860c
151e94c
hex18684

99972 has 18 divisors (see below), whose sum is σ = 252798. Its totient is φ = 33312.

The previous prime is 99971. The next prime is 99989. The reversal of 99972 is 27999.

It can be written as a sum of positive squares in only one way, i.e., 69696 + 30276 = 264^2 + 174^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2777 = 99972 / (9 + 9 + 9 + 7 + 2).

It is a nialpdrome in base 10.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 99972.

It is not an unprimeable number, because it can be changed into a prime (99971) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1353 + ... + 1424.

299972 is an apocalyptic number.

It is an amenable number.

99972 is an abundant number, since it is smaller than the sum of its proper divisors (152826).

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

99972 is a wasteful number, since it uses less digits than its factorization.

99972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2787 (or 2782 counting only the distinct ones).

The product of its digits is 10206, while the sum is 36.

The square root of 99972 is about 316.1834910301. The cubic root of 99972 is about 46.4115557822.

It can be divided in two parts, 9997 and 2, that added together give a palindrome (9999).

The spelling of 99972 in words is "ninety-nine thousand, nine hundred seventy-two".