72877 has 8 divisors (see below), whose sum is σ = 86400. Its totient is φ = 60144.

The previous prime is 72871. The next prime is 72883. The reversal of 72877 is 77827.

It is an interprime number because it is at equal distance from previous prime (72871) and next prime (72883).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 72877 - 2³ = 72869 is a prime.

It is a super-2 number, since 2×72877² = 10622114258, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72871) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24 + ... + 382.

It is an arithmetic number, because the mean of its divisors is an integer number (10800).

2⁷²⁸⁷⁷ is an apocalyptic number.

It is an amenable number.

72877 is a deficient number, since it is larger than the sum of its proper divisors (13523).

72877 is a wasteful number, since it uses less digits than its factorization.

72877 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395.

The product of its digits is 5488, while the sum is 31.

The square root of 72877 is about 269.9574040474. The cubic root of 72877 is about 41.7699057670.

Subtracting 72877 from its reverse (77827), we obtain a triangular number (4950 = T₉₉).

It can be divided in two parts, 72 and 877, that added together give a palindrome (949).

The spelling of 72877 in words is "seventy-two thousand, eight hundred seventy-seven".