72361974240 has 384 divisors, whose sum is σ = 282284352000. Its totient is φ = 17205239808.

The previous prime is 72361974199. The next prime is 72361974283. The reversal of 72361974240 is 4247916327.

72361974240 is a `hidden beast` number, since 7 + 2 + 3 + 619 + 7 + 4 + 24 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1369431 + ... + 1421289.

It is an arithmetic number, because the mean of its divisors is an integer number (735115500).

Almost surely, 2^72361974240 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 72361974240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141142176000).

72361974240 is an abundant number, since it is smaller than the sum of its proper divisors (209922377760).

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

72361974240 is a wasteful number, since it uses less digits than its factorization.

72361974240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51919 (or 51905 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 72361974240 in words is "seventy-two billion, three hundred sixty-one million, nine hundred seventy-four thousand, two hundred forty".