72682533 has 36 divisors (see below), whose sum is σ = 133237728. Its totient is φ = 37754640.

The previous prime is 72682517. The next prime is 72682573. The reversal of 72682533 is 33528627.

It is not a de Polignac number, because 72682533 - 2⁴ = 72682517 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72682573) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2641 + ... + 12342.

It is an arithmetic number, because the mean of its divisors is an integer number (3701048).

Almost surely, 2^72682533 is an apocalyptic number.

It is an amenable number.

72682533 is a deficient number, since it is larger than the sum of its proper divisors (60555195).

72682533 is a wasteful number, since it uses less digits than its factorization.

72682533 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15014 (or 15004 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 72682533 is about 8525.4051516629. The cubic root of 72682533 is about 417.3271934749.

It can be divided in two parts, 7268 and 2533, that added together give a square (9801 = 99²).

The spelling of 72682533 in words is "seventy-two million, six hundred eighty-two thousand, five hundred thirty-three".