72369327873024 has 1056 divisors, whose sum is σ = 267330444326400. Its totient is φ = 18346172350464.

The previous prime is 72369327872953. The next prime is 72369327873079. The reversal of 72369327873024 is 42037872396327.

It is a happy number.

72369327873024 is a `hidden beast` number, since 7 + 236 + 9 + 327 + 8 + 73 + 0 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2575498527 + ... + 2575526625.

Almost surely, 2^{72369327873024} is an apocalyptic number.

72369327873024 is a gapful number since it is divisible by the number (74) 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 72369327873024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133665222163200).

72369327873024 is an abundant number, since it is smaller than the sum of its proper divisors (194961116453376).

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

72369327873024 is a wasteful number, since it uses less digits than its factorization.

72369327873024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28265 (or 28244 counting only the distinct ones).

The product of its (nonzero) digits is 128024064, while the sum is 63.

The spelling of 72369327873024 in words is "seventy-two trillion, three hundred sixty-nine billion, three hundred twenty-seven million, eight hundred seventy-three thousand, twenty-four".