72150728130 has 160 divisors (see below), whose sum is σ = 213788925504. Its totient is φ = 17347042944.

The previous prime is 72150728101. The next prime is 72150728131. The reversal of 72150728130 is 3182705127.

72150728130 is a `hidden beast` number, since 72 + 1 + 507 + 2 + 81 + 3 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (72150728131) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 373117 + ... + 532463.

Almost surely, 2^72150728130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72150728130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106894462752).

72150728130 is an abundant number, since it is smaller than the sum of its proper divisors (141638197374).

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

72150728130 is a wasteful number, since it uses less digits than its factorization.

72150728130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159422 (or 159413 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 72150728130 in words is "seventy-two billion, one hundred fifty million, seven hundred twenty-eight thousand, one hundred thirty".