73153809 has 9 divisors (see below), whose sum is σ = 105703689. Its totient is φ = 48752100.

The previous prime is 73153807. The next prime is 73153841. The reversal of 73153809 is 90835137.

The square root of 73153809 is 8553.

It is a perfect power (a square), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 73153809 - 2¹ = 73153807 is a prime.

It is not an unprimeable number, because it can be changed into a prime (73153807) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24234 + ... + 27084.

Almost surely, 2^73153809 is an apocalyptic number.

73153809 is the 8553-rd square number.

73153809 is the 4277-th centered octagonal number.

It is an amenable number.

73153809 is a deficient number, since it is larger than the sum of its proper divisors (32549880).

73153809 is an frugal number, since it uses more digits than its factorization.

73153809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5708 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The cubic root of 73153809 is about 418.2272388355.

Multiplying 73153809 by its sum of digits (36), we get a square (2633537124 = 51318²).

It can be divided in two parts, 7 and 3153809, that added together give a triangular number (3153816 = T₂₅₁₁).

The spelling of 73153809 in words is "seventy-three million, one hundred fifty-three thousand, eight hundred nine".