72154316305032 has 256 divisors, whose sum is σ = 199987212902400. Its totient is φ = 21554687831040.

The previous prime is 72154316305031. The next prime is 72154316305061. The reversal of 72154316305032 is 23050361345127.

It is a happy number.

It is a super-2 number, since 2×72154316305032² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72154316305031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6375740238 + ... + 6375751554.

It is an arithmetic number, because the mean of its divisors is an integer number (781200050400).

Almost surely, 2^{72154316305032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72154316305032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99993606451200).

72154316305032 is an abundant number, since it is smaller than the sum of its proper divisors (127832896597368).

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

72154316305032 is a wasteful number, since it uses less digits than its factorization.

72154316305032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14836 (or 14832 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 42.

The spelling of 72154316305032 in words is "seventy-two trillion, one hundred fifty-four billion, three hundred sixteen million, three hundred five thousand, thirty-two".