131572320 has 96 divisors (see below), whose sum is σ = 452148480. Its totient is φ = 31895040.

The previous prime is 131572319. The next prime is 131572369. The reversal of 131572320 is 23275131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×131572320² = 34622550780364800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7180 + ... + 17739.

It is an arithmetic number, because the mean of its divisors is an integer number (4709880).

Almost surely, 2^131572320 is an apocalyptic number.

131572320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131572320 is an abundant number, since it is smaller than the sum of its proper divisors (320576160).

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

131572320 is a wasteful number, since it uses less digits than its factorization.

131572320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24948 (or 24940 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 131572320 is about 11470.4978095983. The cubic root of 131572320 is about 508.6138445214.

The spelling of 131572320 in words is "one hundred thirty-one million, five hundred seventy-two thousand, three hundred twenty".