72961075350 has 192 divisors, whose sum is σ = 208422374400. Its totient is φ = 18745534080.

The previous prime is 72961075333. The next prime is 72961075351. The reversal of 72961075350 is 5357016927.

72961075350 is a `hidden beast` number, since 7 + 2 + 9 + 6 + 107 + 535 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 72961075296 and 72961075305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72961075351) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21413347 + ... + 21416753.

It is an arithmetic number, because the mean of its divisors is an integer number (1085533200).

Almost surely, 2^72961075350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72961075350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104211187200).

72961075350 is an abundant number, since it is smaller than the sum of its proper divisors (135461299050).

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

72961075350 is a wasteful number, since it uses less digits than its factorization.

72961075350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4004 (or 3993 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The spelling of 72961075350 in words is "seventy-two billion, nine hundred sixty-one million, seventy-five thousand, three hundred fifty".