72984380040 has 1536 divisors, whose sum is σ = 317011968000. Its totient is φ = 14282956800.

The previous prime is 72984379987. The next prime is 72984380041. The reversal of 72984380040 is 4008348927.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (72984380041) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 879329839 + ... + 879329921.

It is an arithmetic number, because the mean of its divisors is an integer number (206388000).

Almost surely, 2^72984380040 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 72984380040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158505984000).

72984380040 is an abundant number, since it is smaller than the sum of its proper divisors (244027587960).

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

72984380040 is a wasteful number, since it uses less digits than its factorization.

72984380040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 72984380040 in words is "seventy-two billion, nine hundred eighty-four million, three hundred eighty thousand, forty".