72695715840 has 1152 divisors, whose sum is σ = 296455723200. Its totient is φ = 16868966400.

The previous prime is 72695715803. The next prime is 72695715853. The reversal of 72695715840 is 4851759627.

72695715840 is a `hidden beast` number, since 7 + 2 + 6 + 9 + 57 + 1 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1371617254 + ... + 1371617306.

Almost surely, 2^72695715840 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 72695715840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148227861600).

72695715840 is an abundant number, since it is smaller than the sum of its proper divisors (223760007360).

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

72695715840 is a wasteful number, since it uses less digits than its factorization.

72695715840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 72695715840 in words is "seventy-two billion, six hundred ninety-five million, seven hundred fifteen thousand, eight hundred forty".