73952 has 12 divisors (see below), whose sum is σ = 145656. Its totient is φ = 36960.

The previous prime is 73951. The next prime is 73961. The reversal of 73952 is 25937.

It is a plaindrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1124 + ... + 1187.

It is an arithmetic number, because the mean of its divisors is an integer number (12138).

2⁷³⁹⁵² is an apocalyptic number.

It is an amenable number.

73952 is a deficient number, since it is larger than the sum of its proper divisors (71704).

73952 is a wasteful number, since it uses less digits than its factorization.

73952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2321 (or 2313 counting only the distinct ones).

The product of its digits is 1890, while the sum is 26.

The square root of 73952 is about 271.9411701085. The cubic root of 73952 is about 41.9742850905.

It can be divided in two parts, 73 and 952, that multiplied together give a palindrome (69496).

The spelling of 73952 in words is "seventy-three thousand, nine hundred fifty-two".