73149120 has 168 divisors, whose sum is σ = 274594320. Its totient is φ = 17725440.

The previous prime is 73149103. The next prime is 73149143. The reversal of 73149120 is 2194137.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30526 + ... + 32834.

It is an arithmetic number, because the mean of its divisors is an integer number (1634490).

Almost surely, 2^73149120 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 73149120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137297160).

73149120 is an abundant number, since it is smaller than the sum of its proper divisors (201445200).

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

73149120 is a wasteful number, since it uses less digits than its factorization.

73149120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2343 (or 2330 counting only the distinct ones).

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

The square root of 73149120 is about 8552.7258812615. The cubic root of 73149120 is about 418.2183028258.

The spelling of 73149120 in words is "seventy-three million, one hundred forty-nine thousand, one hundred twenty".