152602572672 has 1024 divisors, whose sum is σ = 542515968000. Its totient is φ = 41750691840.

The previous prime is 152602572653. The next prime is 152602572719. The reversal of 152602572672 is 276275206251.

152602572672 is a `hidden beast` number, since 1 + 5 + 2 + 6 + 0 + 2 + 572 + 6 + 72 = 666.

It is a super-2 number, since 2×152602572672² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1714635604 + ... + 1714635692.

It is an arithmetic number, because the mean of its divisors is an integer number (529800750).

Almost surely, 2^152602572672 is an apocalyptic number.

152602572672 is a gapful number since it is divisible by the number (12) 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 152602572672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271257984000).

152602572672 is an abundant number, since it is smaller than the sum of its proper divisors (389913395328).

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

152602572672 is a wasteful number, since it uses less digits than its factorization.

152602572672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 152602572672 in words is "one hundred fifty-two billion, six hundred two million, five hundred seventy-two thousand, six hundred seventy-two".