62072 has 8 divisors (see below), whose sum is σ = 116400. Its totient is φ = 31032.

The previous prime is 62071. The next prime is 62081. The reversal of 62072 is 27026.

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

It is a plaindrome in base 13 and base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 62072.

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 62072.

It is not an unprimeable number, because it can be changed into a prime (62071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3872 + ... + 3887.

It is an arithmetic number, because the mean of its divisors is an integer number (14550).

2⁶²⁰⁷² is an apocalyptic number.

It is an amenable number.

62072 is a deficient number, since it is larger than the sum of its proper divisors (54328).

62072 is a wasteful number, since it uses less digits than its factorization.

62072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7765 (or 7761 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 62072 is about 249.1425294886. The cubic root of 62072 is about 39.5942310407.

Adding to 62072 its reverse (27026), we get a palindrome (89098).

The spelling of 62072 in words is "sixty-two thousand, seventy-two".