73832253 has 32 divisors (see below), whose sum is σ = 110702592. Its totient is φ = 43387200.

The previous prime is 73832237. The next prime is 73832257. The reversal of 73832253 is 35223837.

It is not a de Polignac number, because 73832253 - 2⁴ = 73832237 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73832257) 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, 280600 + ... + 280862.

It is an arithmetic number, because the mean of its divisors is an integer number (3459456).

Almost surely, 2^73832253 is an apocalyptic number.

It is an amenable number.

73832253 is a deficient number, since it is larger than the sum of its proper divisors (36870339).

73832253 is a wasteful number, since it uses less digits than its factorization.

73832253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505.

The product of its digits is 30240, while the sum is 33.

The square root of 73832253 is about 8592.5696389381. The cubic root of 73832253 is about 419.5161718827.

The spelling of 73832253 in words is "seventy-three million, eight hundred thirty-two thousand, two hundred fifty-three".