Search a number
-
+
72374000 = 245336187
BaseRepresentation
bin1000101000001…
…01011011110000
312001011222110112
410110011123300
5122011432000
611103120452
71536111626
oct424053360
9161158415
1072374000
1137942726
12202a3128
1311cc026a
14987d516
156549235
hex45056f0

72374000 has 40 divisors (see below), whose sum is σ = 175005168. Its totient is φ = 28948800.

The previous prime is 72373997. The next prime is 72374039. The reversal of 72374000 is 47327.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16094 + ... + 20093.

Almost surely, 272374000 is an apocalyptic number.

It is an amenable number.

72374000 is an abundant number, since it is smaller than the sum of its proper divisors (102631168).

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

72374000 is a wasteful number, since it uses less digits than its factorization.

72374000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36210 (or 36194 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 23.

The square root of 72374000 is about 8507.2909906738. The cubic root of 72374000 is about 416.7358462912.

The spelling of 72374000 in words is "seventy-two million, three hundred seventy-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 36187 72374 144748 180935 289496 361870 578992 723740 904675 1447480 1809350 2894960 3618700 4523375 7237400 9046750 14474800 18093500 36187000 72374000