72760140 has 48 divisors (see below), whose sum is σ = 226366560. Its totient is φ = 19402560.

The previous prime is 72760133. The next prime is 72760141. The reversal of 72760140 is 4106727.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (72760141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66831 + ... + 67910.

It is an arithmetic number, because the mean of its divisors is an integer number (4715970).

Almost surely, 2^72760140 is an apocalyptic number.

It is an amenable number.

72760140 is an abundant number, since it is smaller than the sum of its proper divisors (153606420).

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

72760140 is a wasteful number, since it uses less digits than its factorization.

72760140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134759 (or 134751 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 72760140 is about 8529.9554512319. The cubic root of 72760140 is about 417.4756747753.

Adding to 72760140 its reverse (4106727), we get a palindrome (76866867).

It can be divided in two parts, 72760 and 140, that added together give a square (72900 = 270²).

The spelling of 72760140 in words is "seventy-two million, seven hundred sixty thousand, one hundred forty".