73985527 has 16 divisors (see below), whose sum is σ = 92477952. Its totient is φ = 57503520.

The previous prime is 73985447. The next prime is 73985531. The reversal of 73985527 is 72558937.

It is a cyclic number.

It is not a de Polignac number, because 73985527 - 2⁷ = 73985399 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73985027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36513 + ... + 38485.

It is an arithmetic number, because the mean of its divisors is an integer number (5779872).

Almost surely, 2^73985527 is an apocalyptic number.

73985527 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

73985527 is a deficient number, since it is larger than the sum of its proper divisors (18492425).

73985527 is a wasteful number, since it uses less digits than its factorization.

73985527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2478.

The product of its digits is 529200, while the sum is 46.

The square root of 73985527 is about 8601.4839998689. The cubic root of 73985527 is about 419.8062730902.

The spelling of 73985527 in words is "seventy-three million, nine hundred eighty-five thousand, five hundred twenty-seven".