73515 has 24 divisors (see below), whose sum is σ = 131760. Its totient is φ = 34944.

The previous prime is 73483. The next prime is 73517. The reversal of 73515 is 51537.

It is a happy number.

73515 is nontrivially palindromic in base 12.

It is not a de Polignac number, because 73515 - 2⁵ = 73483 is a prime.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 73491 and 73500.

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2521 + ... + 2549.

It is an arithmetic number, because the mean of its divisors is an integer number (5490).

2⁷³⁵¹⁵ is an apocalyptic number.

73515 is a deficient number, since it is larger than the sum of its proper divisors (58245).

73515 is a wasteful number, since it uses less digits than its factorization.

73515 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 50 counting only the distinct ones).

The product of its digits is 525, while the sum is 21.

The square root of 73515 is about 271.1364969900. The cubic root of 73515 is about 41.8914430116.

Adding to 73515 its sum of digits (21), we get a triangular number (73536 = T₃₈₃).

It can be divided in two parts, 735 and 15, that multiplied together give a square (11025 = 105²).

The spelling of 73515 in words is "seventy-three thousand, five hundred fifteen".