72895990943232 has 280 divisors, whose sum is σ = 221450291385840. Its totient is φ = 23956420239360.

The previous prime is 72895990943207. The next prime is 72895990943257. The reversal of 72895990943232 is 23234909959827.

72895990943232 is a `hidden beast` number, since 7 + 2 + 8 + 9 + 599 + 0 + 9 + 4 + 3 + 23 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (72895990943207) and next prime (72895990943257).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 25125244 + ... + 27875972.

Almost surely, 2^{72895990943232} is an apocalyptic number.

72895990943232 is a gapful number since it is divisible by the number (72) 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 72895990943232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110725145692920).

72895990943232 is an abundant number, since it is smaller than the sum of its proper divisors (148554300442608).

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

72895990943232 is an frugal number, since it uses more digits than its factorization.

72895990943232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2750836 (or 2750805 counting only the distinct ones).

The product of its (nonzero) digits is 529079040, while the sum is 72.

The spelling of 72895990943232 in words is "seventy-two trillion, eight hundred ninety-five billion, nine hundred ninety million, nine hundred forty-three thousand, two hundred thirty-two".