72533527 has 8 divisors (see below), whose sum is σ = 79896960. Its totient is φ = 65298360.

The previous prime is 72533497. The next prime is 72533557.

72533527 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (72533497) and next prime (72533557).

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

It is a cyclic number.

It is not a de Polignac number, because 72533527 - 2¹⁵ = 72500759 is a prime.

It is a super-2 number, since 2×72533527² = 10522225078119458, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72533492 and 72533501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72533557) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30877 + ... + 33142.

It is an arithmetic number, because the mean of its divisors is an integer number (9987120).

Almost surely, 2^72533527 is an apocalyptic number.

72533527 is a deficient number, since it is larger than the sum of its proper divisors (7363433).

72533527 is a wasteful number, since it uses less digits than its factorization.

72533527 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64133.

The product of its digits is 44100, while the sum is 34.

The square root of 72533527 is about 8516.6617286352. The cubic root of 72533527 is about 417.0418117552.

The spelling of 72533527 in words is "seventy-two million, five hundred thirty-three thousand, five hundred twenty-seven".