73512 has 24 divisors (see below), whose sum is σ = 199290. Its totient is φ = 24480.

The previous prime is 73483. The next prime is 73517. The reversal of 73512 is 21537.

It can be written as a sum of positive squares in only one way, i.e., 60516 + 12996 = 246^2 + 114^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (73517) by changing a digit.

73512 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 439 + ... + 582.

2⁷³⁵¹² is an apocalyptic number.

73512 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

73512 is an abundant number, since it is smaller than the sum of its proper divisors (125778).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

73512 is a wasteful number, since it uses less digits than its factorization.

73512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 1026 counting only the distinct ones).

The product of its digits is 210, while the sum is 18.

The square root of 73512 is about 271.1309646647. The cubic root of 73512 is about 41.8908731685.

It can be divided in two parts, 735 and 12, that added together give a palindrome (747).

The spelling of 73512 in words is "seventy-three thousand, five hundred twelve".