72745140 has 48 divisors (see below), whose sum is σ = 219356928. Its totient is φ = 17906304.

The previous prime is 72745139. The next prime is 72745177. The reversal of 72745140 is 4154727.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 72745098 and 72745107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45852 + ... + 47411.

It is an arithmetic number, because the mean of its divisors is an integer number (4569936).

Almost surely, 2^72745140 is an apocalyptic number.

It is an amenable number.

72745140 is an abundant number, since it is smaller than the sum of its proper divisors (146611788).

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

72745140 is a wasteful number, since it uses less digits than its factorization.

72745140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93288 (or 93286 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 72745140 is about 8529.0761516122. The cubic root of 72745140 is about 417.4469843160.

Adding to 72745140 its reverse (4154727), we get a palindrome (76899867).

The spelling of 72745140 in words is "seventy-two million, seven hundred forty-five thousand, one hundred forty".