140073120 has 288 divisors, whose sum is σ = 537788160. Its totient is φ = 32901120.

The previous prime is 140073077. The next prime is 140073121. The reversal of 140073120 is 21370041.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 140073093 and 140073102.

It is not an unprimeable number, because it can be changed into a prime (140073121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 585961 + ... + 586199.

It is an arithmetic number, because the mean of its divisors is an integer number (1867320).

Almost surely, 2^140073120 is an apocalyptic number.

140073120 is a gapful number since it is divisible by the number (10) 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 140073120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268894080).

140073120 is an abundant number, since it is smaller than the sum of its proper divisors (397715040).

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

140073120 is a wasteful number, since it uses less digits than its factorization.

140073120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 140073120 is about 11835.2490468093. The cubic root of 140073120 is about 519.3397933014.

The spelling of 140073120 in words is "one hundred forty million, seventy-three thousand, one hundred twenty".