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72301374 = 232172310273
BaseRepresentation
bin1000100111100…
…11101100111110
312001001021211200
410103303230332
5122002120444
611101400330
71535360115
oct423635476
9161037750
1072301374
11378a3102
12202690a6
1311c961a2
149860c7c
156532969
hex44f3b3e

72301374 has 48 divisors (see below), whose sum is σ = 173096352. Its totient is φ = 21694464.

The previous prime is 72301363. The next prime is 72301417. The reversal of 72301374 is 47310327.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1902 + ... + 12174.

It is an arithmetic number, because the mean of its divisors is an integer number (3606174).

Almost surely, 272301374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72301374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86548176).

72301374 is an abundant number, since it is smaller than the sum of its proper divisors (100794978).

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

72301374 is a wasteful number, since it uses less digits than its factorization.

72301374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10321 (or 10318 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 72301374 is about 8503.0214629860. The cubic root of 72301374 is about 416.5964040100.

The spelling of 72301374 in words is "seventy-two million, three hundred one thousand, three hundred seventy-four".

Divisors: 1 2 3 6 9 17 18 23 34 46 51 69 102 138 153 207 306 391 414 782 1173 2346 3519 7038 10273 20546 30819 61638 92457 174641 184914 236279 349282 472558 523923 708837 1047846 1417674 1571769 2126511 3143538 4016743 4253022 8033486 12050229 24100458 36150687 72301374