73652 has 6 divisors (see below), whose sum is σ = 128898. Its totient is φ = 36824.

The previous prime is 73651. The next prime is 73673. The reversal of 73652 is 25637.

It can be written as a sum of positive squares in only one way, i.e., 55696 + 17956 = 236^2 + 134^2 .

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 73652.

It is not an unprimeable number, because it can be changed into a prime (73651) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9203 + ... + 9210.

It is an arithmetic number, because the mean of its divisors is an integer number (21483).

2⁷³⁶⁵² is an apocalyptic number.

It is an amenable number.

73652 is a deficient number, since it is larger than the sum of its proper divisors (55246).

73652 is a wasteful number, since it uses less digits than its factorization.

73652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18417 (or 18415 counting only the distinct ones).

The product of its digits is 1260, while the sum is 23.

The square root of 73652 is about 271.3890196747. The cubic root of 73652 is about 41.9174493427.

The spelling of 73652 in words is "seventy-three thousand, six hundred fifty-two".