72290346240 has 288 divisors, whose sum is σ = 272961319680. Its totient is φ = 15953559552.

The previous prime is 72290346199. The next prime is 72290346281. The reversal of 72290346240 is 4264309227.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72290346199) and next prime (72290346281).

It is a super-3 number, since 3×72290346240³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 733152 + ... + 825888.

It is an arithmetic number, because the mean of its divisors is an integer number (947782360).

Almost surely, 2^72290346240 is an apocalyptic number.

72290346240 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72290346240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136480659840).

72290346240 is an abundant number, since it is smaller than the sum of its proper divisors (200670973440).

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

72290346240 is a wasteful number, since it uses less digits than its factorization.

72290346240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92797 (or 92783 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 72290346240 in words is "seventy-two billion, two hundred ninety million, three hundred forty-six thousand, two hundred forty".