72407811040 has 48 divisors (see below), whose sum is σ = 176581641600. Its totient is φ = 28028828160.

The previous prime is 72407811019. The next prime is 72407811061. The reversal of 72407811040 is 4011870427.

It is an interprime number because it is at equal distance from previous prime (72407811019) and next prime (72407811061).

It is a junction number, because it is equal to n+sod(n) for n = 72407810987 and 72407811005.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 7294215 + ... + 7304134.

It is an arithmetic number, because the mean of its divisors is an integer number (3678784200).

Almost surely, 2^72407811040 is an apocalyptic number.

It is an amenable number.

72407811040 is an abundant number, since it is smaller than the sum of its proper divisors (104173830560).

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

72407811040 is a wasteful number, since it uses less digits than its factorization.

72407811040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14598395 (or 14598387 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 34.

The spelling of 72407811040 in words is "seventy-two billion, four hundred seven million, eight hundred eleven thousand, forty".