73429128 has 24 divisors (see below), whose sum is σ = 198870750. Its totient is φ = 24476352.

The previous prime is 73429093. The next prime is 73429159. The reversal of 73429128 is 82192437.

It can be written as a sum of positive squares in only one way, i.e., 70862724 + 2566404 = 8418^2 + 1602^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 73429092 and 73429101.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 509853 + ... + 509996.

Almost surely, 2^73429128 is an apocalyptic number.

It is an amenable number.

73429128 is an abundant number, since it is smaller than the sum of its proper divisors (125441622).

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

73429128 is a wasteful number, since it uses less digits than its factorization.

73429128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019861 (or 1019854 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 73429128 is about 8569.0797638953. The cubic root of 73429128 is about 418.7512569057.

It can be divided in two parts, 73 and 429128, that added together give a triangular number (429201 = T₉₂₆).

The spelling of 73429128 in words is "seventy-three million, four hundred twenty-nine thousand, one hundred twenty-eight".