72574 has 8 divisors (see below), whose sum is σ = 110088. Its totient is φ = 35880.

The previous prime is 72559. The next prime is 72577. The reversal of 72574 is 47527.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72577) by changing a digit.

72574 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 124 + ... + 400.

It is an arithmetic number, because the mean of its divisors is an integer number (13761).

2⁷²⁵⁷⁴ is an apocalyptic number.

72574 is a deficient number, since it is larger than the sum of its proper divisors (37514).

72574 is a wasteful number, since it uses less digits than its factorization.

72574 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410.

The product of its digits is 1960, while the sum is 25.

The square root of 72574 is about 269.3956198605. The cubic root of 72574 is about 41.7119365752.

It can be divided in two parts, 72 and 574, that multiplied together give a triangular number (41328 = T₂₈₇).

The spelling of 72574 in words is "seventy-two thousand, five hundred seventy-four".