131040672 has 96 divisors (see below), whose sum is σ = 396950400. Its totient is φ = 37075968.

The previous prime is 131040671. The next prime is 131040673. The reversal of 131040672 is 276040131.

It is an interprime number because it is at equal distance from previous prime (131040671) and next prime (131040673).

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

It is a super-3 number, since 3×131040672³ (a number of 25 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (131040671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72354 + ... + 74142.

It is an arithmetic number, because the mean of its divisors is an integer number (4134900).

Almost surely, 2^131040672 is an apocalyptic number.

131040672 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 131040672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198475200).

131040672 is an abundant number, since it is smaller than the sum of its proper divisors (265909728).

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

131040672 is a wasteful number, since it uses less digits than its factorization.

131040672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 131040672 is about 11447.2997689411. The cubic root of 131040672 is about 507.9278629460.

The spelling of 131040672 in words is "one hundred thirty-one million, forty thousand, six hundred seventy-two".