44772 has 48 divisors (see below), whose sum is σ = 131712. Its totient is φ = 11520.

The previous prime is 44771. The next prime is 44773. The reversal of 44772 is 27744.

It is an interprime number because it is at equal distance from previous prime (44771) and next prime (44773).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44771) 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, 1072 + ... + 1112.

It is an arithmetic number, because the mean of its divisors is an integer number (2744).

2^{44772} is an apocalyptic number.

44772 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 44772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65856).

44772 is an abundant number, since it is smaller than the sum of its proper divisors (86940).

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

44772 is a wasteful number, since it uses less digits than its factorization.

44772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 66 counting only the distinct ones).

The product of its digits is 1568, while the sum is 24.

The square root of 44772 is about 211.5939507642. The cubic root of 44772 is about 35.5087593277.

The spelling of 44772 in words is "forty-four thousand, seven hundred seventy-two", and thus it is an iban number.

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 41 42 52 78 82 84 91 123 156 164 182 246 273 287 364 492 533 546 574 861 1066 1092 1148 1599 1722 2132 3198 3444 3731 6396 7462 11193 14924 22386 44772

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