72145290030 has 128 divisors (see below), whose sum is σ = 200192311296. Its totient is φ = 16445184000.

The previous prime is 72145290017. The next prime is 72145290071. The reversal of 72145290030 is 3009254127.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 72145289973 and 72145290000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6451524 + ... + 6462696.

It is an arithmetic number, because the mean of its divisors is an integer number (1564002432).

Almost surely, 2^72145290030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72145290030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100096155648).

72145290030 is an abundant number, since it is smaller than the sum of its proper divisors (128047021266).

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

72145290030 is a wasteful number, since it uses less digits than its factorization.

72145290030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12362.

The product of its (nonzero) digits is 15120, while the sum is 33.

The spelling of 72145290030 in words is "seventy-two billion, one hundred forty-five million, two hundred ninety thousand, thirty".