73431120 has 160 divisors (see below), whose sum is σ = 263197440. Its totient is φ = 16588800.

The previous prime is 73431119. The next prime is 73431121. The reversal of 73431120 is 2113437.

It is an interprime number because it is at equal distance from previous prime (73431119) and next prime (73431121).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73431121) 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, 182920 + ... + 183320.

It is an arithmetic number, because the mean of its divisors is an integer number (1644984).

Almost surely, 2^73431120 is an apocalyptic number.

73431120 is a gapful number since it is divisible by the number (70) 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 73431120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131598720).

73431120 is an abundant number, since it is smaller than the sum of its proper divisors (189766320).

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

73431120 is a wasteful number, since it uses less digits than its factorization.

73431120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 73431120 is about 8569.1959949578. The cubic root of 73431120 is about 418.7550435273.

Adding to 73431120 its reverse (2113437), we get a palindrome (75544557).

The spelling of 73431120 in words is "seventy-three million, four hundred thirty-one thousand, one hundred twenty".