72757 has 4 divisors (see below), whose sum is σ = 75136. Its totient is φ = 70380.

The previous prime is 72739. The next prime is 72763. The reversal of 72757 is 75727.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 75727 = 41 ⋅1847.

It is a cyclic number.

It is not a de Polignac number, because 72757 - 2¹¹ = 70709 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72707) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1143 + ... + 1204.

It is an arithmetic number, because the mean of its divisors is an integer number (18784).

2⁷²⁷⁵⁷ is an apocalyptic number.

It is an amenable number.

72757 is a deficient number, since it is larger than the sum of its proper divisors (2379).

72757 is a wasteful number, since it uses less digits than its factorization.

72757 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2378.

The product of its digits is 3430, while the sum is 28.

The square root of 72757 is about 269.7350551931. The cubic root of 72757 is about 41.7469669232.

It can be divided in two parts, 727 and 57, that added together give a square (784 = 28²).

The spelling of 72757 in words is "seventy-two thousand, seven hundred fifty-seven".