72534 has 32 divisors (see below), whose sum is σ = 182016. Its totient is φ = 18720.

The previous prime is 72533. The next prime is 72547. The reversal of 72534 is 43527.

72534 = T₃₄ + T₃₅ + ... + T₇₇.

It is a happy number.

It is a super-2 number, since 2×72534² = 10522362312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 72534.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72533) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 384 + ... + 540.

It is an arithmetic number, because the mean of its divisors is an integer number (5688).

2⁷²⁵³⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91008).

72534 is an abundant number, since it is smaller than the sum of its proper divisors (109482).

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

72534 is a wasteful number, since it uses less digits than its factorization.

72534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180.

The product of its digits is 840, while the sum is 21.

The square root of 72534 is about 269.3213693712. The cubic root of 72534 is about 41.7042718280.

It can be divided in two parts, 72 and 534, that added together give a palindrome (606).

The spelling of 72534 in words is "seventy-two thousand, five hundred thirty-four".