73829952 has 84 divisors (see below), whose sum is σ = 241864896. Its totient is φ = 21093120.

The previous prime is 73829939. The next prime is 73829957. The reversal of 73829952 is 25992837.

It is a tau number, because it is divible by the number of its divisors (84).

It is a junction number, because it is equal to n+sod(n) for n = 73829898 and 73829907.

It is not an unprimeable number, because it can be changed into a prime (73829957) 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, 5124 + ... + 13187.

It is an arithmetic number, because the mean of its divisors is an integer number (2879344).

Almost surely, 2^73829952 is an apocalyptic number.

73829952 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

73829952 is an abundant number, since it is smaller than the sum of its proper divisors (168034944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

73829952 is a wasteful number, since it uses less digits than its factorization.

73829952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18336 (or 18323 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 73829952 is about 8592.4357431406. The cubic root of 73829952 is about 419.5118137298.

The spelling of 73829952 in words is "seventy-three million, eight hundred twenty-nine thousand, nine hundred fifty-two".