72346349472 has 48 divisors (see below), whose sum is σ = 201080299392. Its totient is φ = 22696893440.

The previous prime is 72346349461. The next prime is 72346349473. The reversal of 72346349472 is 27494364327.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (72346349473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22163304 + ... + 22166567.

It is an arithmetic number, because the mean of its divisors is an integer number (4189172904).

Almost surely, 2^72346349472 is an apocalyptic number.

It is an amenable number.

72346349472 is an abundant number, since it is smaller than the sum of its proper divisors (128733949920).

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

72346349472 is a wasteful number, since it uses less digits than its factorization.

72346349472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44329901 (or 44329893 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 51.

The spelling of 72346349472 in words is "seventy-two billion, three hundred forty-six million, three hundred forty-nine thousand, four hundred seventy-two".