72283046250240 has 1008 divisors, whose sum is σ = 299452115386368. Its totient is φ = 16367271174144.

The previous prime is 72283046250211. The next prime is 72283046250251. The reversal of 72283046250240 is 4205264038227.

72283046250240 is a `hidden beast` number, since 7 + 2 + 2 + 83 + 0 + 4 + 62 + 502 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 698855169 + ... + 698958591.

It is an arithmetic number, because the mean of its divisors is an integer number (297075511296).

Almost surely, 2^{72283046250240} is an apocalyptic number.

72283046250240 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 72283046250240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149726057693184).

72283046250240 is an abundant number, since it is smaller than the sum of its proper divisors (227169069136128).

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

72283046250240 is a wasteful number, since it uses less digits than its factorization.

72283046250240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103576 (or 103547 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 72283046250240 in words is "seventy-two trillion, two hundred eighty-three billion, forty-six million, two hundred fifty thousand, two hundred forty".