72434772324 has 144 divisors (see below), whose sum is σ = 191065021056. Its totient is φ = 23118220800.

The previous prime is 72434772317. The next prime is 72434772353. The reversal of 72434772324 is 42327743427.

72434772324 is a `hidden beast` number, since 72 + 4 + 347 + 7 + 232 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 72434772324.

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 47 ways as a sum of consecutive naturals, for example, 79861479 + ... + 79862385.

It is an arithmetic number, because the mean of its divisors is an integer number (1326840424).

Almost surely, 2^72434772324 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 72434772324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95532510528).

72434772324 is an abundant number, since it is smaller than the sum of its proper divisors (118630248732).

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

72434772324 is a wasteful number, since it uses less digits than its factorization.

72434772324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906 (or 1901 counting only the distinct ones).

The product of its digits is 1580544, while the sum is 45.

The spelling of 72434772324 in words is "seventy-two billion, four hundred thirty-four million, seven hundred seventy-two thousand, three hundred twenty-four".