72301049327250 has 640 divisors, whose sum is σ = 210866696561664. Its totient is φ = 18469561420800.

The previous prime is 72301049327249. The next prime is 72301049327281. The reversal of 72301049327250 is 5272394010327.

72301049327250 is a `hidden beast` number, since 7 + 2 + 30 + 1 + 0 + 49 + 327 + 250 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 72301049327196 and 72301049327205.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 52890306067 + ... + 52890307433.

Almost surely, 2^{72301049327250} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72301049327250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105433348280832).

72301049327250 is an abundant number, since it is smaller than the sum of its proper divisors (138565647234414).

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

72301049327250 is a wasteful number, since it uses less digits than its factorization.

72301049327250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2473 (or 2454 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 72301049327250 in words is "seventy-two trillion, three hundred one billion, forty-nine million, three hundred twenty-seven thousand, two hundred fifty".