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72674301448 = 237732243527
BaseRepresentation
bin100001110101110111…
…0011101011000001000
320221120210112000210101
41003223232131120020
52142314110121243
653215222255144
75151636240610
oct1035356353010
9227523460711
1072674301448
1128903826361
12121025874b4
136b12503c48
143735c79a40
151d552bb54d
hex10ebb9d608

72674301448 has 48 divisors (see below), whose sum is σ = 157893814080. Its totient is φ = 30719343744.

The previous prime is 72674301407. The next prime is 72674301457. The reversal of 72674301448 is 84410347627.

It is a junction number, because it is equal to n+sod(n) for n = 72674301398 and 72674301407.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 176661 + ... + 420187.

It is an arithmetic number, because the mean of its divisors is an integer number (3289454460).

Almost surely, 272674301448 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 72674301448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78946907040).

72674301448 is an abundant number, since it is smaller than the sum of its proper divisors (85219512632).

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

72674301448 is a wasteful number, since it uses less digits than its factorization.

72674301448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243686 (or 243609 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 46.

The spelling of 72674301448 in words is "seventy-two billion, six hundred seventy-four million, three hundred one thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 28 56 73 146 292 511 584 1022 2044 4088 5329 10658 21316 37303 42632 74606 149212 243527 298424 487054 974108 1704689 1948216 3409378 6818756 13637512 17777471 35554942 71109884 124442297 142219768 248884594 497769188 995538376 1297755383 2595510766 5191021532 9084287681 10382043064 18168575362 36337150724 72674301448