46734072 has 160 divisors (see below), whose sum is σ = 154608000. Its totient is φ = 11499840.

The previous prime is 46734049. The next prime is 46734073. The reversal of 46734072 is 27043764.

46734072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46734073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2459679 + ... + 2459697.

It is an arithmetic number, because the mean of its divisors is an integer number (966300).

Almost surely, 2^46734072 is an apocalyptic number.

46734072 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 46734072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77304000).

46734072 is an abundant number, since it is smaller than the sum of its proper divisors (107873928).

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

46734072 is a wasteful number, since it uses less digits than its factorization.

46734072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The square root of 46734072 is about 6836.2322956436. The cubic root of 46734072 is about 360.2006905686.

The spelling of 46734072 in words is "forty-six million, seven hundred thirty-four thousand, seventy-two".