72236314098 has 96 divisors (see below), whose sum is σ = 170055303600. Its totient is φ = 22029096960.

The previous prime is 72236314097. The next prime is 72236314103. The reversal of 72236314098 is 89041363227.

72236314098 is a `hidden beast` number, since 7 + 2 + 2 + 3 + 631 + 4 + 0 + 9 + 8 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7667979489 + 64568334609 = 87567^2 + 254103^2 .

It is not an unprimeable number, because it can be changed into a prime (72236314097) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13254078 + ... + 13259526.

Almost surely, 2^72236314098 is an apocalyptic number.

72236314098 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72236314098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85027651800).

72236314098 is an abundant number, since it is smaller than the sum of its proper divisors (97818989502).

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

72236314098 is a wasteful number, since it uses less digits than its factorization.

72236314098 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5964 (or 5961 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 72236314098 in words is "seventy-two billion, two hundred thirty-six million, three hundred fourteen thousand, ninety-eight".