73676832 has 96 divisors (see below), whose sum is σ = 210309120. Its totient is φ = 22498560.

The previous prime is 73676831. The next prime is 73676873. The reversal of 73676832 is 23867637.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (73676831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55893 + ... + 57195.

It is an arithmetic number, because the mean of its divisors is an integer number (2190720).

Almost surely, 2^73676832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73676832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105154560).

73676832 is an abundant number, since it is smaller than the sum of its proper divisors (136632288).

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

73676832 is a wasteful number, since it uses less digits than its factorization.

73676832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1358 counting only the distinct ones).

The product of its digits is 254016, while the sum is 42.

The square root of 73676832 is about 8583.5209558782. The cubic root of 73676832 is about 419.2215967934.

The spelling of 73676832 in words is "seventy-three million, six hundred seventy-six thousand, eight hundred thirty-two".