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72744 = 2337433
BaseRepresentation
bin10001110000101000
310200210020
4101300220
54311434
61320440
7422040
oct216050
9120706
1072744
114a721
1236120
1327159
141c720
1516849
hex11c28

72744 has 32 divisors (see below), whose sum is σ = 208320. Its totient is φ = 20736.

The previous prime is 72739. The next prime is 72763. The reversal of 72744 is 44727.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is an unprimeable number.

72744 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49 + ... + 384.

It is an arithmetic number, because the mean of its divisors is an integer number (6510).

272744 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 72744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104160).

72744 is an abundant number, since it is smaller than the sum of its proper divisors (135576).

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

72744 is a wasteful number, since it uses less digits than its factorization.

72744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 445 counting only the distinct ones).

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

The square root of 72744 is about 269.7109563959. The cubic root of 72744 is about 41.7444803680.

The spelling of 72744 in words is "seventy-two thousand, seven hundred forty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 433 866 1299 1732 2598 3031 3464 5196 6062 9093 10392 12124 18186 24248 36372 72744