46677072 has 160 divisors (see below), whose sum is σ = 142213120. Its totient is φ = 13063680.

The previous prime is 46677067. The next prime is 46677077. The reversal of 46677072 is 27077664.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (46677067) and next prime (46677077).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 46677072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46677077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 367473 + ... + 367599.

It is an arithmetic number, because the mean of its divisors is an integer number (888832).

Almost surely, 2^46677072 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 46677072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71106560).

46677072 is an abundant number, since it is smaller than the sum of its proper divisors (95536048).

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

46677072 is a wasteful number, since it uses less digits than its factorization.

46677072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 39.

The square root of 46677072 is about 6832.0620606081. The cubic root of 46677072 is about 360.0541893735.

The spelling of 46677072 in words is "forty-six million, six hundred seventy-seven thousand, seventy-two".