Search a number
-
+
72998676 = 223231149439
BaseRepresentation
bin1000101100111…
…01111100010100
312002100201100200
410112131330110
5122141424201
611124340500
71544323062
oct426357424
9162321320
1072998676
1138229a93
1220544730
131217b6aa
1499a3032
15661e386
hex459df14

72998676 has 72 divisors (see below), whose sum is σ = 192192000. Its totient is φ = 23336640.

The previous prime is 72998671. The next prime is 72998677. The reversal of 72998676 is 67689927.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72998671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166065 + ... + 166503.

Almost surely, 272998676 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 72998676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96096000).

72998676 is an abundant number, since it is smaller than the sum of its proper divisors (119193324).

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

72998676 is a wasteful number, since it uses less digits than its factorization.

72998676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 624 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The square root of 72998676 is about 8543.9262637268. The cubic root of 72998676 is about 417.9313929356.

The spelling of 72998676 in words is "seventy-two million, nine hundred ninety-eight thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 149 186 279 298 372 439 447 558 596 878 894 1116 1317 1341 1756 1788 2634 2682 3951 4619 5268 5364 7902 9238 13609 13857 15804 18476 27218 27714 40827 41571 54436 55428 65411 81654 83142 122481 130822 163308 166284 196233 244962 261644 392466 489924 588699 784932 1177398 2027741 2354796 4055482 6083223 8110964 12166446 18249669 24332892 36499338 72998676