87272 has 8 divisors (see below), whose sum is σ = 163650. Its totient is φ = 43632.

The previous prime is 87257. The next prime is 87277. The reversal of 87272 is 27278.

87272 = T₇₃ + T₇₄ + ... + T₉₆.

It can be written as a sum of positive squares in only one way, i.e., 81796 + 5476 = 286^2 + 74^2 .

It is a tau number, because it is divible by the number of its divisors (8).

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

87272 is a modest number, since divided by 7272 gives 8 as remainder.

It is not an unprimeable number, because it can be changed into a prime (87277) by changing a digit.

87272 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5447 + ... + 5462.

2⁸⁷²⁷² is an apocalyptic number.

It is an amenable number.

87272 is a deficient number, since it is larger than the sum of its proper divisors (76378).

87272 is a wasteful number, since it uses less digits than its factorization.

87272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10915 (or 10911 counting only the distinct ones).

The product of its digits is 1568, while the sum is 26.

The square root of 87272 is about 295.4183474329. The cubic root of 87272 is about 44.3566061437.

The spelling of 87272 in words is "eighty-seven thousand, two hundred seventy-two".