72926537760 has 384 divisors, whose sum is σ = 264199864320. Its totient is φ = 18768153600.

The previous prime is 72926537743. The next prime is 72926537777. The reversal of 72926537760 is 6773562927.

72926537760 is a `hidden beast` number, since 7 + 2 + 9 + 265 + 377 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (72926537743) and next prime (72926537777).

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

It is a junction number, because it is equal to n+sod(n) for n = 72926537697 and 72926537706.

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, 84503089 + ... + 84503951.

It is an arithmetic number, because the mean of its divisors is an integer number (688020480).

Almost surely, 2^72926537760 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 72926537760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132099932160).

72926537760 is an abundant number, since it is smaller than the sum of its proper divisors (191273326560).

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

72926537760 is a wasteful number, since it uses less digits than its factorization.

72926537760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1549 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The spelling of 72926537760 in words is "seventy-two billion, nine hundred twenty-six million, five hundred thirty-seven thousand, seven hundred sixty".