73675953 has 32 divisors (see below), whose sum is σ = 119078400. Its totient is φ = 44748288.

The previous prime is 73675913. The next prime is 73675967. The reversal of 73675953 is 35957637.

It is not a de Polignac number, because 73675953 - 2¹³ = 73667761 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 73675899 and 73675908.

It is not an unprimeable number, because it can be changed into a prime (73675913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26401 + ... + 29057.

It is an arithmetic number, because the mean of its divisors is an integer number (3721200).

Almost surely, 2^73675953 is an apocalyptic number.

It is an amenable number.

73675953 is a deficient number, since it is larger than the sum of its proper divisors (45402447).

73675953 is a wasteful number, since it uses less digits than its factorization.

73675953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2758 (or 2752 counting only the distinct ones).

The product of its digits is 595350, while the sum is 45.

The square root of 73675953 is about 8583.4697529612. The cubic root of 73675953 is about 419.2199296151.

The spelling of 73675953 in words is "seventy-three million, six hundred seventy-five thousand, nine hundred fifty-three".