73431072 has 144 divisors (see below), whose sum is σ = 245464128. Its totient is φ = 20528640.

The previous prime is 73431047. The next prime is 73431073. The reversal of 73431072 is 27013437.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (73431073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40293 + ... + 42075.

It is an arithmetic number, because the mean of its divisors is an integer number (1704612).

Almost surely, 2^73431072 is an apocalyptic number.

73431072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73431072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122732064).

73431072 is an abundant number, since it is smaller than the sum of its proper divisors (172033056).

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

73431072 is a wasteful number, since it uses less digits than its factorization.

73431072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1823 (or 1812 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 73431072 is about 8569.1931942278. The cubic root of 73431072 is about 418.7549522842.

The spelling of 73431072 in words is "seventy-three million, four hundred thirty-one thousand, seventy-two".