73138401 has 12 divisors (see below), whose sum is σ = 120736512. Its totient is φ = 41793336.

The previous prime is 73138363. The next prime is 73138421. The reversal of 73138401 is 10483137.

It is not a de Polignac number, because 73138401 - 2¹⁰ = 73137377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (73138421) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 580401 + ... + 580526.

It is an arithmetic number, because the mean of its divisors is an integer number (10061376).

Almost surely, 2^73138401 is an apocalyptic number.

It is an amenable number.

73138401 is a deficient number, since it is larger than the sum of its proper divisors (47598111).

73138401 is a wasteful number, since it uses less digits than its factorization.

73138401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160940 (or 1160937 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 73138401 is about 8552.0992159820. The cubic root of 73138401 is about 418.1978737764.

The spelling of 73138401 in words is "seventy-three million, one hundred thirty-eight thousand, four hundred one".