46772352 has 96 divisors (see below), whose sum is σ = 146867760. Its totient is φ = 14169600.

The previous prime is 46772339. The next prime is 46772353. The reversal of 46772352 is 25327764.

It is a happy number.

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

It is a super-2 number, since 2×46772352² = 4375305823223808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (46772353) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10827 + ... + 14517.

Almost surely, 2^46772352 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 46772352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73433880).

46772352 is an abundant number, since it is smaller than the sum of its proper divisors (100095408).

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

46772352 is a wasteful number, since it uses less digits than its factorization.

46772352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3722 (or 3707 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 46772352 is about 6839.0315103822. The cubic root of 46772352 is about 360.2990108364.

The spelling of 46772352 in words is "forty-six million, seven hundred seventy-two thousand, three hundred fifty-two".