72670752240 has 60 divisors (see below), whose sum is σ = 225292279032. Its totient is φ = 19377753600.

The previous prime is 72670752233. The next prime is 72670752247. The reversal of 72670752240 is 4225707627.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72670752233) and next prime (72670752247).

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×72670752240² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 72670752192 and 72670752201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72670752247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4167540 + ... + 4184940.

Almost surely, 2^72670752240 is an apocalyptic number.

It is an amenable number.

72670752240 is an abundant number, since it is smaller than the sum of its proper divisors (152621526792).

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

72670752240 is an frugal number, since it uses more digits than its factorization.

72670752240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34818 (or 17411 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 42.

The spelling of 72670752240 in words is "seventy-two billion, six hundred seventy million, seven hundred fifty-two thousand, two hundred forty".