44967072 has 96 divisors (see below), whose sum is σ = 126100800. Its totient is φ = 13989888.

The previous prime is 44967067. The next prime is 44967073. The reversal of 44967072 is 27076944.

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

It is a self number, because there is not a number n which added to its sum of digits gives 44967072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44967073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162198 + ... + 162474.

It is an arithmetic number, because the mean of its divisors is an integer number (1313550).

Almost surely, 2^44967072 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 44967072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63050400).

44967072 is an abundant number, since it is smaller than the sum of its proper divisors (81133728).

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

44967072 is a wasteful number, since it uses less digits than its factorization.

44967072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 44967072 is about 6705.7491751481. The cubic root of 44967072 is about 355.6025526997.

The spelling of 44967072 in words is "forty-four million, nine hundred sixty-seven thousand, seventy-two".