72658347840 has 560 divisors, whose sum is σ = 279562364928. Its totient is φ = 17806749696.

The previous prime is 72658347833. The next prime is 72658347841. The reversal of 72658347840 is 4874385627.

72658347840 is a `hidden beast` number, since 72 + 65 + 8 + 3 + 478 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72658347841) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 129055399 + ... + 129055961.

Almost surely, 2^72658347840 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 72658347840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139781182464).

72658347840 is an abundant number, since it is smaller than the sum of its proper divisors (206904017088).

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

72658347840 is a wasteful number, since it uses less digits than its factorization.

72658347840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 72658347840 in words is "seventy-two billion, six hundred fifty-eight million, three hundred forty-seven thousand, eight hundred forty".