72440729761 has 8 divisors (see below), whose sum is σ = 73799422560. Its totient is φ = 71086399872.

The previous prime is 72440729743. The next prime is 72440729773. The reversal of 72440729761 is 16792704427.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72440729761 - 2¹³ = 72440721569 is a prime.

It is a super-2 number, since 2×72440729761² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72440720761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1057200 + ... + 1123633.

It is an arithmetic number, because the mean of its divisors is an integer number (9224927820).

Almost surely, 2^72440729761 is an apocalyptic number.

It is an amenable number.

72440729761 is a deficient number, since it is larger than the sum of its proper divisors (1358692799).

72440729761 is a wasteful number, since it uses less digits than its factorization.

72440729761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2181455.

The product of its (nonzero) digits is 1185408, while the sum is 49.

The spelling of 72440729761 in words is "seventy-two billion, four hundred forty million, seven hundred twenty-nine thousand, seven hundred sixty-one".