73721333 has 32 divisors (see below), whose sum is σ = 93312000. Its totient is φ = 57990912.

The previous prime is 73721327. The next prime is 73721339. The reversal of 73721333 is 33312737.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (73721327) and next prime (73721339).

It is not a de Polignac number, because 73721333 - 2⁶ = 73721269 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 73721296 and 73721305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73721339) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273923 + ... + 274191.

It is an arithmetic number, because the mean of its divisors is an integer number (2916000).

Almost surely, 2^73721333 is an apocalyptic number.

It is an amenable number.

73721333 is a deficient number, since it is larger than the sum of its proper divisors (19590667).

73721333 is a wasteful number, since it uses less digits than its factorization.

73721333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 340 counting only the distinct ones).

The product of its digits is 7938, while the sum is 29.

The square root of 73721333 is about 8586.1127991659. The cubic root of 73721333 is about 419.3059834542.

The spelling of 73721333 in words is "seventy-three million, seven hundred twenty-one thousand, three hundred thirty-three".