72974259504 has 200 divisors, whose sum is σ = 222201738000. Its totient is φ = 23087199744.

The previous prime is 72974259473. The next prime is 72974259509. The reversal of 72974259504 is 40595247927.

72974259504 is a `hidden beast` number, since 7 + 2 + 9 + 7 + 42 + 595 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (72974259509) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 2201002 + ... + 2233910.

It is an arithmetic number, because the mean of its divisors is an integer number (1111008690).

Almost surely, 2^72974259504 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 72974259504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111100869000).

72974259504 is an abundant number, since it is smaller than the sum of its proper divisors (149227478496).

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

72974259504 is a wasteful number, since it uses less digits than its factorization.

72974259504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33017 (or 33002 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 72974259504 in words is "seventy-two billion, nine hundred seventy-four million, two hundred fifty-nine thousand, five hundred four".