72623624736 has 96 divisors (see below), whose sum is σ = 205950161088. Its totient is φ = 22275118080.

The previous prime is 72623624713. The next prime is 72623624737. The reversal of 72623624736 is 63742632627.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (72623624737) 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, 303831 + ... + 487401.

It is an arithmetic number, because the mean of its divisors is an integer number (2145314178).

Almost surely, 2^72623624736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72623624736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102975080544).

72623624736 is an abundant number, since it is smaller than the sum of its proper divisors (133326536352).

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

72623624736 is a wasteful number, since it uses less digits than its factorization.

72623624736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183914 (or 183906 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 48.

The spelling of 72623624736 in words is "seventy-two billion, six hundred twenty-three million, six hundred twenty-four thousand, seven hundred thirty-six".