73602 has 32 divisors (see below), whose sum is σ = 172800. Its totient is φ = 23184.

The previous prime is 73597. The next prime is 73607. The reversal of 73602 is 20637.

It is an interprime number because it is at equal distance from previous prime (73597) and next prime (73607).

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 (73607) by changing a digit.

73602 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 15 ways as a sum of consecutive naturals, for example, 1543 + ... + 1589.

It is an arithmetic number, because the mean of its divisors is an integer number (5400).

2⁷³⁶⁰² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73602, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86400).

73602 is an abundant number, since it is smaller than the sum of its proper divisors (99198).

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

73602 is a wasteful number, since it uses less digits than its factorization.

73602 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 73602 is about 271.2968853489. The cubic root of 73602 is about 41.9079617211.

The spelling of 73602 in words is "seventy-three thousand, six hundred two".