46140672 has 72 divisors (see below), whose sum is σ = 124634944. Its totient is φ = 15151104.

The previous prime is 46140671. The next prime is 46140673. The reversal of 46140672 is 27604164.

It is an interprime number because it is at equal distance from previous prime (46140671) and next prime (46140673).

It is a super-3 number, since 3×46140672³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46140671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55653 + ... + 56475.

Almost surely, 2^46140672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46140672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62317472).

46140672 is an abundant number, since it is smaller than the sum of its proper divisors (78494272).

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

46140672 is an equidigital number, since it uses as much as digits as its factorization.

46140672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 46140672 is about 6792.6925441978. The cubic root of 46140672 is about 358.6696578171.

The spelling of 46140672 in words is "forty-six million, one hundred forty thousand, six hundred seventy-two".