72737332146 has 48 divisors (see below), whose sum is σ = 164785008960. Its totient is φ = 23144315040.

The previous prime is 72737332133. The next prime is 72737332147. The reversal of 72737332146 is 64123373727.

72737332146 is a `hidden beast` number, since 7 + 273 + 7 + 332 + 1 + 46 = 666.

It is not an unprimeable number, because it can be changed into a prime (72737332147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24360 + ... + 382188.

It is an arithmetic number, because the mean of its divisors is an integer number (3433021020).

Almost surely, 2^72737332146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72737332146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82392504480).

72737332146 is an abundant number, since it is smaller than the sum of its proper divisors (92047676814).

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

72737332146 is a wasteful number, since it uses less digits than its factorization.

72737332146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358351 (or 358348 counting only the distinct ones).

The product of its digits is 889056, while the sum is 45.

The spelling of 72737332146 in words is "seventy-two billion, seven hundred thirty-seven million, three hundred thirty-two thousand, one hundred forty-six".