72947797914240 has 1024 divisors, whose sum is σ = 276416644608000. Its totient is φ = 18127742976000.

The previous prime is 72947797914217. The next prime is 72947797914253. The reversal of 72947797914240 is 4241979774927.

It is a happy number.

72947797914240 is a `hidden beast` number, since 7 + 2 + 9 + 47 + 79 + 7 + 91 + 424 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10886102890 + ... + 10886109590.

It is an arithmetic number, because the mean of its divisors is an integer number (269938129500).

Almost surely, 2^{72947797914240} 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 72947797914240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138208322304000).

72947797914240 is an abundant number, since it is smaller than the sum of its proper divisors (203468846693760).

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

72947797914240 is a wasteful number, since it uses less digits than its factorization.

72947797914240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7286 (or 7268 counting only the distinct ones).

The product of its (nonzero) digits is 448084224, while the sum is 72.

The spelling of 72947797914240 in words is "seventy-two trillion, nine hundred forty-seven billion, seven hundred ninety-seven million, nine hundred fourteen thousand, two hundred forty".