131572000 has 192 divisors, whose sum is σ = 382427136. Its totient is φ = 43545600.

The previous prime is 131571991. The next prime is 131572019. The reversal of 131572000 is 275131.

It is a super-2 number, since 2×131572000² = 34622382368000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1035937 + ... + 1036063.

It is an arithmetic number, because the mean of its divisors is an integer number (1991808).

Almost surely, 2^131572000 is an apocalyptic number.

131572000 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 131572000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191213568).

131572000 is an abundant number, since it is smaller than the sum of its proper divisors (250855136).

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

131572000 is a wasteful number, since it uses less digits than its factorization.

131572000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 131572000 is about 11470.4838607619. The cubic root of 131572000 is about 508.6134321840.

The spelling of 131572000 in words is "one hundred thirty-one million, five hundred seventy-two thousand".