73038953 has 16 divisors (see below), whose sum is σ = 83825280. Its totient is φ = 63042816.

The previous prime is 73038943. The next prime is 73038971. The reversal of 73038953 is 35983037.

It is a cyclic number.

It is not a de Polignac number, because 73038953 - 2⁴ = 73038937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73038913) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35918 + ... + 37896.

It is an arithmetic number, because the mean of its divisors is an integer number (5239080).

Almost surely, 2^73038953 is an apocalyptic number.

It is an amenable number.

73038953 is a deficient number, since it is larger than the sum of its proper divisors (10786327).

73038953 is a wasteful number, since it uses less digits than its factorization.

73038953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2176.

The product of its (nonzero) digits is 68040, while the sum is 38.

The square root of 73038953 is about 8546.2829932082. The cubic root of 73038953 is about 418.0082433148.

The spelling of 73038953 in words is "seventy-three million, thirty-eight thousand, nine hundred fifty-three".