152072580 has 192 divisors, whose sum is σ = 499000320. Its totient is φ = 34214400.

The previous prime is 152072563. The next prime is 152072581. The reversal of 152072580 is 85270251.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (152072581) 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, 840090 + ... + 840270.

It is an arithmetic number, because the mean of its divisors is an integer number (2598960).

Almost surely, 2^152072580 is an apocalyptic number.

152072580 is a gapful number since it is divisible by the number (10) 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 152072580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249500160).

152072580 is an abundant number, since it is smaller than the sum of its proper divisors (346927740).

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

152072580 is a wasteful number, since it uses less digits than its factorization.

152072580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 152072580 is about 12331.7711623270. The cubic root of 152072580 is about 533.7652603469.

The spelling of 152072580 in words is "one hundred fifty-two million, seventy-two thousand, five hundred eighty".