46372032 has 252 divisors, whose sum is σ = 162616896. Its totient is φ = 12579840.

The previous prime is 46372031. The next prime is 46372037. The reversal of 46372032 is 23027364.

46372032 is a `hidden beast` number, since 4 + 637 + 20 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a junction number, because it is equal to n+sod(n) for n = 46371987 and 46372005.

It is not an unprimeable number, because it can be changed into a prime (46372031) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 874918 + ... + 874970.

Almost surely, 2^46372032 is an apocalyptic number.

46372032 is a gapful number since it is divisible by the number (42) 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 46372032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81308448).

46372032 is an abundant number, since it is smaller than the sum of its proper divisors (116244864).

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

46372032 is a wasteful number, since it uses less digits than its factorization.

46372032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 46372032 is about 6809.7013150358. The cubic root of 46372032 is about 359.2681428186.

Adding to 46372032 its reverse (23027364), we get a palindrome (69399396).

The spelling of 46372032 in words is "forty-six million, three hundred seventy-two thousand, thirty-two".