73129140 has 144 divisors (see below), whose sum is σ = 256069632. Its totient is φ = 16547328.

The previous prime is 73129139. The next prime is 73129153. The reversal of 73129140 is 4192137.

It is a super-2 number, since 2×73129140² = 10695742234279200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159792 + ... + 160248.

Almost surely, 2^73129140 is an apocalyptic number.

73129140 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 73129140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128034816).

73129140 is an abundant number, since it is smaller than the sum of its proper divisors (182940492).

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

73129140 is a wasteful number, since it uses less digits than its factorization.

73129140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 73129140 is about 8551.5577528308. The cubic root of 73129140 is about 418.1802218820.

The spelling of 73129140 in words is "seventy-three million, one hundred twenty-nine thousand, one hundred forty".