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72988734 = 2372133113
BaseRepresentation
bin1000101100110…
…11100000111110
312002100012201110
410112123200332
5122141114414
611124222450
71544252100
oct426334076
9162305643
1072988734
1138222575
122053aa26
1312177000
14999d570
15661b459
hex459b83e

72988734 has 96 divisors (see below), whose sum is σ = 185582880. Its totient is φ = 19079424.

The previous prime is 72988691. The next prime is 72988763. The reversal of 72988734 is 43788927.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 645862 + ... + 645974.

It is an arithmetic number, because the mean of its divisors is an integer number (1933155).

Almost surely, 272988734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72988734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92791440).

72988734 is an abundant number, since it is smaller than the sum of its proper divisors (112594146).

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

72988734 is a wasteful number, since it uses less digits than its factorization.

72988734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 138 counting only the distinct ones).

The product of its digits is 677376, while the sum is 48.

The square root of 72988734 is about 8543.3444270965. The cubic root of 72988734 is about 417.9124187898.

The spelling of 72988734 in words is "seventy-two million, nine hundred eighty-eight thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 113 147 169 182 226 273 294 338 339 507 546 637 678 791 1014 1183 1274 1469 1582 1911 2197 2366 2373 2938 3549 3822 4394 4407 4746 5537 6591 7098 8281 8814 10283 11074 13182 15379 16562 16611 19097 20566 24843 30758 30849 33222 38194 46137 49686 57291 61698 71981 92274 107653 114582 133679 143962 215306 215943 248261 267358 322959 401037 431886 496522 645918 744783 802074 935753 1489566 1737827 1871506 2807259 3475654 5213481 5614518 10426962 12164789 24329578 36494367 72988734